Question

The question is find x

Answer 1

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{BC}{EF}$ = $\frac{CD}{FG}$

Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4

Substitute given values into the equation

$\frac{3}{6}$ = $\frac{4}{x}$ ( cross- multiply )

3x = 24 ( divide both sides by 3 )

x = 8