# Triangle Similarity

• June 2nd 2007, 02:06 PM
stones44
Triangle 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?
• June 2nd 2007, 02:48 PM
CaptainBlack
Quote:

Originally Posted by stones44
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?

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 $56/343$ and so if $s$ is the unknown corresponding side of the second triangle:

$
56/343 = (8/s)^2
$

RonL
• June 2nd 2007, 03:58 PM
stones44
so if my algebra is correct the answer is ~19.8 inches