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

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Answer 1 · 2016-04-07T07:34:04

$9 and 12$ $9and 12$

Consider the image

enter image source here
We can find the other two sides using the ratio of the corresponding sides

So,

$\to \frac{1}{3} = \frac{3}{x} = \frac{4}{y}$ $rarr1/3=3/x=4/y$

We could find that

$\Rightarrow \frac{1}{3} = \frac{3}{9} = \frac{4}{12}$ $color(green)(rArr1/3=3/9=4/12$

Triangle A has sides of lengths 1 ,3 1,31 ,3 , and 4 44 . Triangle B is similar to triangle A and has a side of length 3 33 . What are the possible lengths of the other two sides of triangle B?