SOLUTION: If the ratio of two corresponding sides of similar triangles is 3:7, what is the ratio of the area?

Question 1105664: If the ratio of two corresponding sides of similar triangles is 3:7, what is the ratio of the area?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

For ANY similar figures, if the ratio of corresponding linear measurements ("scale factor") is a:b, then the ratio of corresponding area measurements is a^2:b^2, and the ratio of corresponding volume measurements is a^3:b^3.

In this problem, with the scale factor 3:7, the ratio of areas is 3^2:7^2 = 9:49.

And if they were similar 3-dimensional figures, the ratio of volumes would be 3^3:7^3 = 27:343.
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