Problema Solution

the flower garden has the shape of a right triangle. 17 feet of a perennial border forms the hypotense of the triangle. and one leg is 7 ft longer than the other leg. Find the lengths of the legs.

Answer provided by our tutors

let one leg then the other leg x 7 x then we obtain the quadratic equation

x2+ (x+7)2=172

x2+x2+14x+49=289

2x2+14x=240

x2+7x-120=0

D=49+480=529=232

x=(-7+23)/2=8

means a leg is 8 feet the other 8 +7 = 15 feet