Question

The area of a right angled triangle is 44m2
. Find the lengths of the legs if one of the legs is 3m
longer than the other leg

Answer 1

Answer:

The area of a right triangle is 44m^2.Find the length of its legs if one of the legs is 3m longer than the other.

let one leg be x m

other leg = x+3

..

Area of right triangle = 1/2 * leg1 * leg2

1/2 * x*(x+3)=44

x(x+3)=88

x^2+3x=88

x^2+3x-88=0

x^2+11x-8x-88=0

x(x+11)-8(x+11)=0

(x-8)(x+11)=0

x= 8 one leg

other leg = 11