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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?

shreyas1  Oct 2, 2018
 #1
avatar+3429 
+1

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

tertre  Oct 2, 2018
 #2
avatar+92506 
+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

 

 

cool cool cool

CPhill  Oct 2, 2018
 #3
avatar+464 
+2

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

shreyas1  Oct 2, 2018
 #4
avatar+92506 
+1

I think I can speak for tertre, too...we are glad to help   [ if we can  !!! ]

 

 

 

cool cool cool

CPhill  Oct 2, 2018

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