# Triangle A has sides of lengths 1 ,3 , and 4 . Triangle B is similar to triangle A and has a side of length 3 . What are the possible lengths of the other two sides of triangle B?

Apr 7, 2016

$9 \mathmr{and} 12$

#### Explanation:

Consider the image

We can find the other two sides using the ratio of the corresponding sides

So,

$\rightarrow \frac{1}{3} = \frac{3}{x} = \frac{4}{y}$

We could find that

color(green)(rArr1/3=3/9=4/12