Question

Solve for X. The triangles are similar.

A. 4
B. 9
C. 11
D. 3

Answer 1

C. 11

Explanation:

x = 11

Answer 2

`x = 11`

Explanation:

Given that ∆CDE ~ ∆FGH

CD = 25

DE = 35

FG = 65

GH = 8x + 3

Therefore,

`(CD)/(FG) = (DE)/(GH)`

(Similarity Theorem)

`(25)/(65) = (35)/(8x + 3)`

Cross multiply

`25(8x + 3) = 35*65`

`200x + 75 = 2275`

`200x + 75 - 75 = 2275 - 75`

`200x = 2200`

`(200x)/(200) = (2200)/(200)`

`x = 11`