SOLUTION: The ratio of corresponding sides of two similar triangles are 2:3. The sides of the smaller triangle are 3m,6m, and 8m. so now i have to find the side lengths of the larger triangl

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Question 830076: The ratio of corresponding sides of two similar triangles are 2:3. The sides of the smaller triangle are 3m,6m, and 8m. so now i have to find the side lengths of the larger triangle.How do i do that?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
As given, the triangles are similar, so their corresponding sides are in proportion. You are given the ratio between the sides.

2:3 = 3:x_____________2:3 = 6:y_____________2:3 = 8:z

Can you choose the next set of steps?

You can also represent those three proportions in rational form:
2%2F3=3%2Fx
OR
3%2F2=x%2F3
These are for the first proportion, for the 3m side of the small triangle to get the corresponding side length on the larger triangle.
Solve for x.

Then, 3%2F2=y%2F6 and solve for y.
%283%2F2%296=y
y=9

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