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10 votes
Find the missing length. the triangles are similar.

Find the missing length. the triangles are similar.-example-1
User Rakshakhegde
by
2.7k points

2 Answers

18 votes
18 votes

Answer:

? = 130

Explanation:

I'm letting ? be x

Since the triangles are similar, larger outer and smaller inner, then the ratios of corresponding sides are equal.

If x is the length of side of larger then x - 70 is corresponding length of smaller.

Then


(x)/(x-70) =
(78)/(36) ( cross- multiply )

78(x - 70) = 36x ← distribute left side

78x - 5460 = 36x ( subtract 36x from both sides )

42x - 5460 = 0 ( add 5460 to both sides )

42x = 5460 ( divide both sides by 42 )

x = 130

User Wongstein
by
3.1k points
8 votes
8 votes
70 + 78 + 91 = 239
239 - 42 - 36 = 161
User Enessa
by
2.8k points
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