Please help Pythagorean Theorem Help

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

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

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