Problema Solution

One leg of a right triangle has a length of 3m. The other sides have lengths that are consecutive intergers. Find these lengths.

Answer provided by our tutors

use the pythagorean theorem. let one missing side be x and the other be x + 1

32 + x2 = (x+1)2

9 + x2 = x2 + 2x + 1

9 = 2x + 1

8 = 2x

4 = x

so the other lengths are 4 and x +1 is 4 + 1, or 5

so the other leg is 4 inches and the hypotenuse is 5 inches