Triangle A has sides of lengths #36 #, #32 #, 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 12, 2016

The other two possible sides are #color(red)(3.bar 5# and #color(blue)(2.bar 6#

Explanation:

We know the sides of triangle A,But we know only one side of triangle B

Consider,

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We can solve for the other two sides using the ratio of the corresponding sides

Solve,

#color(red)(x#

#rarr36/4=32/x#

#rarr9=32/x#

#color(green)(rArrx=32/9=3.bar 5#

#color(blue)(y#

#rarr36/4=24/y#

#rarr9=24/y#

#color(green)(rArry=24/9=2.bar 6#