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237 lines
8.0 KiB
HTML
237 lines
8.0 KiB
HTML
<!doctype html>
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<html lang="en">
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<!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/geometry/kite.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:42:43 GMT -->
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<head>
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<meta charset="UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Kite</title>
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<meta name="description" content="Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.">
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin>
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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<link rel="stylesheet" href="../style4.css">
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gtag('config', 'UA-29771508-1');
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="linkto"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Kite</h1>
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<p class="center"><i>(Jump to <a href="#Area">Area of a Kite</a> or <a href="#Perimeter">Perimeter of a Kite</a>)</i></p>
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<p class="center larger">A Kite is a flat shape with straight sides.<br>
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It has two pairs of equal-length adjacent (next to each other) sides.</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/kite.svg" alt="dart" height="181" width="130" ></td>
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<td style="width:30px;"> </td>
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<td> </td>
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<td style="text-align:center;"><img src="images/kite.jpg" alt="kite" height="124" width="100" ><br>
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<i>It often <b>looks</b> like<br>
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a kite!</i></td>
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</tr>
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</tbody></table>
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<table class="center" align="center" cellpadding="5" border="0">
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<tbody>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46" ></td>
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<td style="text-align:left;">Two pairs of sides</td>
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</tr>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46" ></td>
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<td style="text-align:left;">
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<p>Each pair is two equal-length sides that are adjacent (they meet)</p></td>
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</tr>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46" ></td>
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<td style="text-align:left;">The angles
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are equal where the two pairs meet</td>
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</tr>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46" ></td>
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<td style="text-align:left;">Diagonals (dashed lines) cross at
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right angles,<br>
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and one of the diagonals bisects (cuts equally in
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half) the other</td>
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</tr>
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</tbody></table>
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<p>Play with a Kite:</p>
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<div class="script" style="height: 330px;">
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images/geom-quad.js?mode=kite
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</div>
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<h2><a name="Area"></a>Area
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of a Kite</h2>
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<h4>Method 1:</h4>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center;"><img src="images/kite-area.svg" alt="kite" height="93" width="107" ></td>
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<td> </td>
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<td>
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<p>Multiply the lengths of the diagonals and then divide by 2 to find the Area:</p>
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<p class="center large">Area = <span class="intbl"><em>p × q</em><strong>2</strong></span></p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A kite has diagonals of 3 cm and 5 cm, what is its Area?</h3>
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<p>Area = <span class="intbl"><em>3 cm × 5 cm</em><strong>2
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</strong></span> = <b>7.5 cm<sup>2</sup></b></p>
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</div>
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<h4>Method 2:</h4>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center;"><img src="images/kite-area-abc.svg" alt="kite side a, angle C. side b" height="126" width="146" ></td>
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<td> </td>
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<td>
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<p>Multiply the lengths of two unequal sides by the sine of the angle between them:</p>
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<p class="center large">Area = a × b × sin(C)</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/kite-area-ex.svg" alt="kite area example" height="189" width="132" ></p>
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<h3>Example: You don't want to get wet measuring the diagonals of a kite-shaped swimming pool. So you measure unequal side lengths of <b>5.0 m</b> and <b>6.5 m</b> with an angle between them of <b>60°</b>. What is its Area?</h3>
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<p class="center"> </p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><span class="center">Area</span></td>
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<td> </td>
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<td><span class="center">= a × b × sin(C) </span></td>
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</tr>
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<tr>
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<td> </td>
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<td> </td>
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<td><span class="center">= 5.0 × 6.5 × sin(60°) </span></td>
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</tr>
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<tr>
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<td> </td>
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<td> </td>
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<td><span class="center">= 5.0 × 6.5 × 0.866...</span></td>
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</tr>
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<tr>
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<td> </td>
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<td> </td>
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<td><span class="center">= <b>28.1 m<sup>2</sup></b> (to 1 decimal)</span></td>
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</tr>
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</tbody></table>
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</div>
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<h4>Method 3:</h4>
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<p>If you can draw your Kite, try the <span class="center"><a href="area-polygon-drawing.html">Area of Polygon by Drawing</a></span> tool.</p>
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<h2><a name="Perimeter"></a>Perimeter of a Kite</h2>
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<p>The Perimeter is the distance around the edges.</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/kite-perim.svg" alt="kite perimeter" height="112" width="123" ></td>
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<td> </td>
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<td>
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<p>The Perimeter is <b>2 times (side length a + side length b)</b>:</p>
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<p class="center larger">Perimeter = 2(a + b)</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A kite has side lengths of 12 m and 10m, what is its Perimeter?</h3>
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<p>Perimeter = 2 × (12 m + 10 m) = 2 × 22 m = <b>44 m</b></p>
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</div>
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<h2>Rhombus and Square</h2>
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<p>When all sides have equal length the Kite will also be a <a href="rhombus.html">Rhombus</a>.</p>
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<p>When all the angles are also 90° the Kite will be a <a href="square.html">Square</a>.</p>
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<p>A Square is a Kite? Yes! So it doesn't <i>always</i> look like the kite you fly.</p>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/dart.svg" alt="dart" height="96" width="127" ><br>
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<b>A Dart</b></p>
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<h2>Dart</h2>
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<p>A concave Kite is called a <b>Dart</b></p>
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<div style="clear:both"></div>
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<p> </p>
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<div class="questions">9141, 9142, 9143, 9144, 9145, 9146, 9147, 9148, 9149, 9150</div>
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<div class="related">
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<a href="../quadrilaterals.html">Quadrilaterals</a>
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<a href="index.html">Geometry Index</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="adend" class="centerfull noprint"></div>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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</div>
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</body>
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<!-- #EndTemplate -->
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<!-- Mirrored from www.mathsisfun.com/geometry/kite.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:42:44 GMT -->
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