Similar Triangles | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

Similar Triangles | MathHelp.com - Free Educational videos for Students in k-12


Similar Triangles | MathHelp.com - By MathHelp.com



Transcript
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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