Problema Solution
a garden has the shape of a right triangle with one leg 6 meters then the other the hypotenuse is 6 meters less than twice the length of the shorter leg what is the length of the shorter leg
Answer provided by our tutors
let 'x' be the length of the shorter leg then
the longer leg is (X+6)
the hypotenuse is (2X-6)
using the Pythagorean Theorem we can write
x^2 + (x+6)^2 = (2x-6)^2
by solving we find and consider the positive roots (the length can not be negative number or 0)
x = 18
click here to see the step by step solution of the quadratic equation
x + 6 = 18 + 6 = 24
2x - 6 = 2*18 - 6 = 30
the length of the legs are: 18 and 24 meters.
the length of the hypotenuse is: 2*18 - 6 = 30 meters