(let x=the length of one of the legs) the hypotenuse of a right triangle is 10 inches. one of the leg is 2 inches less than the other. find the length of two legs of the triangle

Solution:

The length of two legs of the triangle is x and x-2

So

(x-2)^2 +x^2 =10^2

x=8

So the length of two legs of the triangle is 6 inches and 8 inches