Question

Find x.
Side splitter theorem

Answer 1

x = 9

Explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

`(8)/(8+4)` =
`(x-3)/(x)` , that is

`(8)/(12)` =
`(x-3)/(x)` ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9