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Find the length of CU, the triangles are similar.

Find the length of CU, the triangles are similar.-example-1
User Mcky
by
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1 Answer

3 votes

Answer:

CU = 117

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is


(WC)/(WU) =
(CD)/(UV)

substituting in values to the ratios


(26)/(36x-1) =
(24)/(132) ( cross- multiply )

24(36x - 1) = 3432 ( divide both sides by 24 )

36x - 1 = 143 ( add 1 to both sides )

36x = 144 ( divide both sides by 36 )

x = 4

CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117


User James Graham
by
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