Question

The triangles in the image are similar. Solve for x. A) 7 B) 6 C) 10 D) 5

Answer 1

ANSWER

A) 7

EXPLANATION

The given triangles are similar

Hence the corresponding sides are in the same proportion.

$\frac{3x + 4}{30} = \frac{30}{36}$

Simplify the right hand side:

$\frac{3x + 4}{30} = \frac{5}{6}$

Cross multiply;

6(3x+4)=5×30

Expand

18x+24=180

18x=150-24

18x=126

$x = \frac{126}{18} = 7$