Question

Solve for x. Triangles below are similar.

a) 13
b) 10
c) 4
d) 3

Answer 1

the answer is 4 (option C)

Explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

x = 4