Question

Triangle A has sides of lengths `36`, `48`, 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?

Answer 1

In similar triangles the ratios of corresponding sides are the same.

Explanation:

So now there are three possibilities, according to which of the sides of triangle A the 4 corresponds to:

If `4harr36` then the ratio=`36/4=9` and the other sides will be:
`48/9=5 1/3` and `24/9=2 2/3`

If `4harr48` then the ratio=`48/4=12` and the other sides are:
`36/12=3` and `24/12=2`

If `4harr24` the the ratio=`24/4=6` and the other sides are:
`36/6=6` and `48/6=8`