# One leg of a right triangle has a length of 7 centimeters. The other sides have lengths that are consecutive integers.find these lengths. (answer)

You know by the Pythagorean theorem that a2 +b2 = c2 where a and b are the legs of the triangle and c is the hypotenuse or longest side. When they say the other two legs are consecutive integers, that means that x = x+1 or in this case c = b+1. By substituting c = b+1 and 7cm...