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?

1 Answer
Mar 6, 2016

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#