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?

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Answer 1 · 2016-04-07T07:34:04

#9and 12#

Consider the image

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

So,

#rarr1/3=3/x=4/y#

We could find that

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