Question

Find the length of CU, the triangles are similar.

Answer 1

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