Problema Solution

The hypotenuse of a right triangle is 7 m long. One leg is 1m longer than the other leg. Find the lengths of each leg to the nearest tenth of a meter.

Answer provided by our tutors

let one leg is x

another leg x+1

x^2+(x+1)^2=49

2x^2+1+2x=49

x^2+x=24

x^2+x-24=0

x= 5.5 and 4.5