Weird triangle stuff!!!

Question

The hypotenuse of a right triangle whose legs are consecutive whole numbers is 29 units. What is the sum of the lengths of the two legs?

Answer 1

29^2 = x^2 + (x+1)^2

x^2+ x^2 +2x +1 = 841

2x^2 +2x -840 =0

x^2 + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21