Question

the hypotenuse of a right triangle is 10 inches. the length of the two legs are given by two consecutive even integers. find the length of the two legs. the lengths of the two legs are and inches. license points possible: 1

Answer 1

6 and 8

Explanation:

x = one integer

x+2 = other integer

Pythagorean Theorem:

x^2 + ( x+2)^2 = 10^2

x^2 + x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

x^2 + 2x -48 = 0 Use factoring ( or Quadratic Formula)

(x+8)(x-6) = 0 shows x = 6 the other integer is 8