Similar Triangles | MathHelp.com - By MathHelp.com
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00:0-1 | in this example we're given that the triangle shown are | |
00:03 | similar and we're asked to find the value of X | |
00:07 | . Remember that if two triangles are similar , the | |
00:10 | ratios of their corresponding sides are equal . Notice that | |
00:15 | the corresponding sides for the triangle shown have length five | |
00:19 | and 20 12 and X and 13 and 52 . | |
00:25 | So the ratios 5/20 12 over X . Yeah . | |
00:37 | And 13/52 . Mhm . Must all be equal . | |
00:45 | Mhm . Now to find the value of X , | |
00:49 | let's use the proportion formed by the first two ratios | |
00:54 | . 5/20 equals 12 over x . To solve a | |
00:58 | proportion , we use cross products five times X Equals | |
01:05 | 20 times 12 Or five x equals 240 . Finally | |
01:13 | , we divide both sides of the equation by five | |
01:18 | To get x equals 48 . It's important to understand | |
01:27 | that if we used the proportion 12 over X equals | |
01:30 | 13/52 we would get the same answer . X equals | |
01:35 | 48 . |
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