Problema Solution
triangle EGF has side lengths x-1, x+1, x+3. for what value of x is triangle EGF a right triangle?
Answer provided by our tutors
we will use the Pythagorean Theorem
the triangle EGF is a right triangle if and only (x-1)^2 + (x+1)^2 = (x+3)^2, where x is positive number
by solving the quadratic equation:
(x-1)^2 + (x+1)^2 = (x+3)^2
we find:
x = 7
click here to see the step by step solution of the quadratic equation:
for x = 7 the triangle EGF is a right triangle.