Two similar right triangles have areas of 6 square inches and 150 square inches. The length of the hypotenuse of the smaller triangle is 5 inches. What is the sum of the lengths of the legs of the larger triangle?

shreyas1 Oct 2, 2018

#1**+1 **

Hint: Right triangles, hypotenuse=5..Does that take you somwhere? You can use the Pythogorean Triplets to rememeber.

tertre Oct 2, 2018

#2**+1 **

The scalle factor of the larger triangle to the smaller =

sqrt [ larger area / smaller area ] =

sqrt [ 150 / 6] =

sqrt (25) = 5

The legs of the smaller triangle are 3 and 4

The legs of the larger triangle are each 5 times as much = 15 and 20

So...the sum of the legs of the lager triangle = 15 + 20 = 35 units

CPhill Oct 2, 2018