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185 lines
6.7 KiB
HTML
185 lines
6.7 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/geometry/rhombus.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:38:06 GMT -->
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<title>Rhombus</title>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Rhombus</h1>
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<p class="center"><i>(Jump to <a href="#Area">Area of a Rhombus</a> or <a href="#Perimeter">Perimeter of a Rhombus</a>)</i></p>
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<p class="center"><span class="larger">A Rhombus is a flat shape with 4 <b>equal</b> straight sides.</span></p>
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<p class="center"><img src="images/rhombuses.svg" alt="rhombuses" height="214" width="366"><br>
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<b>A rhombus looks like a diamond</b></p>
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<table 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>All sides have equal length</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>Opposite sides are <a href="../perpendicular-parallel.html">parallel</a>, and opposite angles are equal (it is a <a href="parallelogram.html">Parallelogram)</a>.</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>The <b>altitude</b> is the right angle distance between opposite 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>And the diagonals "p" and "q" of a rhombus
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<a href="bisect.html">bisect</a> each other at right angles.</td>
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</tr>
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</tbody></table>
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<div class="beach"></div>
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<p class="center"><img src="images/rhombus-measure.svg" alt="rhombus measure s and altitude" height="141" width="360"></p>
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<p>Play with a rhombus:</p>
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<div class="script" style="height: 560px;">
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images/geom-quad.js?mode=rhombus
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</div>
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<h2><a name="Area"></a>Area of a Rhombus</h2>
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<p class="center"><img src="images/rhombus-measure.svg" alt="rhombus measure s and altitude" height="141" width="360"></p>
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<p>The Area can be calculated by:</p>
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<ul>
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<li>the altitude times the side length:
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<div class="so">Area = altitude × s</div></li><br>
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<li>the side length squared (s<sup>2</sup>) times the sine of angle A (or angle B):
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<div class="so">Area = <span class="larger">s<sup>2</sup> sin(A)</span></div>
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<div class="so">Area = <span class="larger">s<sup>2</sup> sin(B)</span></div></li><br>
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<li>by multiplying the lengths of the diagonals and then dividing by 2:
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<div class="so">Area = <span class="larger">(p × q)/2</span></div></li>
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</ul>
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<div class="example">
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<h3>Example: A rhombus has diagonals of 6 m and 8 m, what is its Area?</h3>
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<p>Area = (6 m × 8 m)/2 = <b>24 m<sup>2</sup></b></p>
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</div>
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<p>If you can draw your Rhombus, 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 Rhombus</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/rhombus-perim.svg" alt="rhombus perimeter" height="" width=""></td>
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<td> </td>
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<td>
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<p>The Perimeter is <b>4 times "s" (the side length)</b><br>
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because all sides are equal in length:</p>
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<p class="center larger">Perimeter = 4s</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 rhombus has a side length of 12 cm, what is its Perimeter?</h3>
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<p>Perimeter = 4 × 12 cm = <b>48 cm</b></p>
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</div>
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<h2>Is a Square a Rhombus?</h2>
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<p>Yes, because a square is just a rhombus where the angles are all right angles.</p>
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<h2>Other Names</h2>
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<p>It is more common to call this shape a <b>rhombus</b>, but some people call it a <b>rhomb</b> or even a <b>diamond</b>.</p>
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<p>The plural is <b>rhombi</b> or <b>rhombuses</b>, and, rarely, <b>rhombbi</b> or <b>rhombbuses</b> (with a double b).</p>
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<p>The name "rhombus" comes from the Greek word <i>rhombos</i>: a piece of wood whirled on a string to make a roaring noise!</p>
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<p> </p>
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<div class="questions">9101, 9102, 9103, 9104, 9105, 9106, 9107, 9108, 9109, 9110</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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</article>
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