length of the longer leg of a right triangle is 4 m more than twice the length of shorter leg the length of the hypotenuse is 6 m more than twice the length of the shorter leg find the side lengths

Answer 1

L= 4 + 2S

H= 6+ 2S

2S = L-4 = H-6

S^2 + L^2 = H^2

substitute use the quadratic or factor to get

(s-10)(s+2) = 0

s = 10

L = 24

H = 26

It's a 5-12-13 right triangle inflated by 2

sides are 10 meters, 24 meters and hypotenuse 26 meters