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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?

Oct 2, 2018

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

Oct 2, 2018
#2
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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   Oct 2, 2018
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Thank you so much CPhill and Tertre. You guys are very good at math and have helped so many people including me and i want to thank you so much for that

Oct 2, 2018
#4
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I think I can speak for tertre, too...we are glad to help   [ if we can  !!! ]   CPhill  Oct 2, 2018