Question

Find x. Side splitter theorem

Answer 1

Answer:

x = 9

Step-by-step explanation:

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

$\frac{8}{8+4}$ = $\frac{x-3}{x}$ , that is

$\frac{8}{12}$ = $\frac{x-3}{x}$ ( 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