The hypotenuse of a right triangle is one more than the second side. The shortest side is 7 feet. Find the two missing sides.

Question

The hypotenuse of a right triangle is one more than the second side. The shortest side is 7 feet. Find the two missing sides.

Answer 1

Let x = the unknown side

Then he hypotenuse is x + 1

By the Pythagorean theorem $x^2+49=(x+1{)}^2$

49 = 2x +1

x = 24

hypotenuse = 25