Question

Solve for x.

A) x = 11

B) x = 21

C) x = 17

D) x = 8

Answer 1

A. x = 11

Explanation:

so, the angle D corresponds to angle T.

therefore, the side BD corresponds to RT.

and CD to ST.

since both triangles are similar, they must have the same angles, and all corresponding sides and other lengths must have the same scaling factor.

so,

RT × f = BD

and the same f must then apply to

ST × f = CD

21 × f = 98

f = 98/21 = 14/3 = 4.666666666...

33 × 14/3 = 15x - 11

11 × 14 = 15x - 11

154 = 15x - 11

15x = 165

x = 11