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147 lines
5.6 KiB
HTML
147 lines
5.6 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/right_angle_triangle.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:42:42 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<title>Right-Angled Triangles</title>
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<script src="geometry/images/geom-triangle-types.js" type="text/javascript"></script>
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<link rel="stylesheet" type="text/css" href="stylejs.css">
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<link rel="preload" href="main4.js" as="script">
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gtag('js', new Date());
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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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</nav>
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<article id="content" role="main">
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<h1 class="center">Right-Angled Triangles</h1>
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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="geometry/images/triangle-right.svg" alt="right angled scalene triangle" height="75" width="150"></td>
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<td>
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<p>A <b>right-angled triangle</b> (also called a <b>right triangle</b>)<br>
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is a triangle
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with a <a href="rightangle.html">right angle</a> (90°) in it.</p></td>
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</tr>
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</tbody></table>
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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="geometry/images/symbol-right-angle.svg" alt="right angle symbol" height="" width=""></td>
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<td>The <b>little square</b> in the corner tells us
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it is a right angled triangle<br>
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(I also put 90°, but you don't need to!)</td>
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</tr>
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</tbody></table>
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<p> </p>
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<p class="center"><i>The right angled triangle is one of the most useful shapes in all of mathematics!<br>
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(It is used in the <a href="pythagoras.html">Pythagoras Theorem</a> and <a href="sine-cosine-tangent.html">Sine, Cosine and Tangent</a> for example).</i></p>
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<p> </p>
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<p class="center">Try it yourself (drag the points):</p>
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<div class="script" style="height: 280px;">
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geometry/images/triangle.js?mode=right
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</div>
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<h2>Two Types</h2>
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<p>There are two types of right angled triangle:</p>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="geometry/images/triangle-right-isosceles.svg" alt="Isosceles right angled triangle" height="113" width="150"></p>
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<p><span class="large">Isosceles right-angled triangle</span></p>
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<p>One right angle<br>
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Two other <b>equal</b> angles always of <b>45°</b><br>
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Two equal sides</p>
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<p> </p>
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<p style="float:left; margin: 15px 10px 25px 0;"><img src="geometry/images/triangle-right.svg" alt="right angled scalene triangle" height="75" width="150"></p>
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<p><span class="large">Scalene right-angled triangle</span></p>
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<p>One right angle<br>
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Two other <b>unequal</b> angles<br>
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No equal sides</p>
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<div class="example">
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<h3>Example: The 3,4,5 Triangle</h3>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="geometry/images/triangle-3-4-5.svg" alt="3,4,5 Triangle" height="190" width="226"></p>
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<p>The "<a href="geometry/triangle-3-4-5.html">3,4,5 Triangle</a>" has a right angle in it.</p>
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<p>(Draw one if you ever need a right angle!)</p>
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<p> </p>
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<p>It has no equal sides so it is a <b>scalene</b> right-angled triangle</p>
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</div>
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<p>And, like all triangles, <a href="proof180deg.html">the three angles always add up to 180°</a>.</p>
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<p> </p>
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<div class="questions">6701, 6707, 761, 1800, 762, 1801, 3228, 3229, 8997, 8998</div>
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<div class="related">
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<a href="pythagoras.html">Pythagoras' Theorem</a>
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<a href="triangle.html">Triangles</a>
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<a href="proof180deg.html">Proof that a Triangle has 180°</a>
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<a href="pythagorean_triples.html">Pythagorean Triples</a>
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<a href="algebra/trigonometry-index.html">Trigonometry Index</a>
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</div>
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</article>
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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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