Question

What value of x will make the triangles similar by the SSS similarity theorem? Show your work.

Answer 1

x = 24

Explanation:

by the similarity theorem

the ratios of corresponding sides are in proportion , that is

`(x)/(9)` =
`(16)/(6)` ( cross- multiply )

6x = 9 × 16 = 144 ( divide both sides by 6 )

x = 24