Question

The triangles are similar. Solve for the missing segment.

Answer 1

Answer:

$\boxed{56}$

Step-by-step explanation:

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

$\frac{20}{32} =\frac{35}{x}$

Cross multiplication.

$20x=35 \times 32$

Divide both sides by 20.

$\frac{20x}{20} = \frac{35 \times 32}{20}$

$x=56$

Answer 2

Answer:

56

Step-by-step explanation:

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

$\frac{35+20}{20}$ = $\frac{32+?}{32}$ ( cross- multiply )

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

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

? = 56