Question

Triangle FEG is similar to triangle IHJ. Find the value of x.
x =

Answer 1

Step-by-step explanation:

ΔFEG ~ ΔIHJ

By Corresponding sides of similar triangles,

$\frac{fe}{ih} = \frac{eg}{hj} = \frac{gf}{ji}$

$\frac{60}{40} = \frac{36}{x + 6}$

$\frac{3}{2} = \frac{36}{x + 6}$

$3(x + 6) = 72$

$x + 6 = 24$

$x = 18$