Question

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

Answer 1

`Lengths:8m and 11m`

Explanation:

Area of a triangle is
`(1)/(2)bh`

`44=(1)/(2) (x+3)(x)\\`

`44=(1)/(2) (x_{2 +3x)`

`88=x^(2) +3x`

`x^(2) +3x-88=0`

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

`x=8`

`Lengths:8m and 11m`