Question

The triangles are similar. Solve for the missing segment.

Answer 1

`\boxed{56}`

Explanation:

We can use ratios to solve since the triangles are similar.

`(20)/(32) =(35)/(x)`

Cross multiplication.

`20x=35 * 32`

Divide both sides by 20.

`(20x)/(20) = (35 * 32)/(20)`

`x=56`

Answer 2

56

Explanation:

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

`(35+20)/(20)` =
`(32+?)/(32)` ( cross- multiply )

20(32 + ?) = 1760 ( divide both sides by 20 )

32 + ? = 88 ( subtract 32 from both sides )

? = 56