Question

The question is find x

Answer 1

x = 8

Explanation:

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

`(BC)/(EF)` =
`(CD)/(FG)`

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

Substitute given values into the equation

`(3)/(6)` =
`(4)/(x)` ( cross- multiply )

3x = 24 ( divide both sides by 3 )

x = 8