Two similar triangles. One area is 56 cm^2 and the other is 343 cm^2...on side of the first triangle is 8...whats the length of the corresponding side?

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- Jun 2nd 2007, 01:06 PMstones44Triangle Similarity
Two similar triangles. One area is 56 cm^2 and the other is 343 cm^2...on side of the first triangle is 8...whats the length of the corresponding side?

- Jun 2nd 2007, 01:48 PMCaptainBlack
In similar figurs the ratio of the areas is the square of the ratio of corresponding linear dimensions.

Here the ratio of the areas is $\displaystyle 56/343$ and so if $\displaystyle s$ is the unknown corresponding side of the second triangle:

$\displaystyle

56/343 = (8/s)^2

$

RonL - Jun 2nd 2007, 02:58 PMstones44
so if my algebra is correct the answer is ~19.8 inches