# Triangle A has sides of lengths 36 , 32 , and 24 . Triangle B is similar to triangle A and has a side of length 4 . What are the possible lengths of the other two sides of triangle B?

Mar 12, 2016

The other two possible sides are color(red)(3.bar 5 and color(blue)(2.bar 6

#### Explanation:

We know the sides of triangle A,But we know only one side of triangle B

Consider,

We can solve for the other two sides using the ratio of the corresponding sides

Solve,

color(red)(x

$\rightarrow \frac{36}{4} = \frac{32}{x}$

$\rightarrow 9 = \frac{32}{x}$

color(green)(rArrx=32/9=3.bar 5

color(blue)(y

$\rightarrow \frac{36}{4} = \frac{24}{y}$

$\rightarrow 9 = \frac{24}{y}$

color(green)(rArry=24/9=2.bar 6