Problema Solution
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
Answer provided by our tutors
The two consecutive even integers can be written as: 2x and 2x+2, where x is integer, x>0
Using the Pythagorean Theorem we can write:
(2x)^2 + (2x + 2)^2 = 10^2
........
........
x = 3
2x = 2*3 = 6 in
2x + 2 = 2*3 + 2 = 8 in
The lengths of the two legs are 6 inches and 8 inches.