Problema Solution
One leg of a right triangle is 9 centimeters longer than the other leg and the hypotenuse is 45 centimeters. Find the lengths of the legs of the triangle.
Answer provided by our tutors
a^2 + b^2 = c^2
x^2 + (x+9)^2 = 45^2
x^2 + x^2+18x+81 = 45^2
2x^2 + 18x + 81 = 45^2
2x^2 + 18x - 1944 = 0
2(x-27)(x+36)
x= -36 , x= 27
now since a lenght cannot be a negative, the answer is 27
check
27^2 + 36^2 = 45^2
2025= 2025