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109 lines
3.8 KiB
HTML
109 lines
3.8 KiB
HTML
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<title>Triangle Inequality Theorem</title>
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<meta name="description" content="Learn about the Triangle Inequality Theorem: any side of a triangle must be shorter than the other two sides added together.">
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<h1 class="center">Triangle Inequality Theorem</h1>
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<p class="center larger">Any side of a triangle must be <b>shorter</b> than the other two sides added together.</p>
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<p> </p>
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<p>Why? Well imagine one side is <b>not</b> shorter:</p>
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<ul>
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<li>If a side is <b>longer</b>, then the other two sides don't meet:</li>
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<p class="center"><img src="images/triangle-inequality-gt.svg" alt="triangle inequality 40 base, 16 and 22 cannot join" height="72" width="208"></p>
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<li>If a side is <b>equal</b> to the other two sides it is not a triangle (just a straight line back and forth).</li>
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<p class="center"><img src="images/triangle-inequality-eq.svg" alt="triangle inequality 40 base, 18 and 22 makes straight line" height="56" width="208"></p>
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</ul>
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images/triangle.js?mode=inequal
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<p> </p>
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<p>When the three sides are <b>a</b>, <b>b</b> and <b>c</b>, we can write:</p>
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<li>a < b + c</li>
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<li>b < a + c</li>
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<li>c < a + b</li>
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</ul>
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<p> </p>
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<div class="questions">7841, 7842, 7843, 7844, 7845, 7846, 7847, 7848, 7849, 7850</div>
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