Twenty-nine is the shortest leg of a right triangle whose other leg and hypotenuse are consecutive whole numbers. What is the sum of the lengths of the other two sides?
Call the other leg is: x
So the hypotenuse is x + 1
We have: \(29^2+x^2=\left(x+1\right)^2\)( Pythagorean theorem)
=> The sum of two sides is: 420 + 29 = 449