Problema Solution
A dorm room desktop organizer is roughly in the shape of a right triangle. The height and base are solutions to the equation x^2+201=28x+9. Find the hypotenuse, h.
Answer provided by our tutors
The solutions to the quadratic equation x^2+201=28x+9 are
x1 = 16
x2 = 12
thus we have the height and the base are 16 and 12 that is the lengths of the right triangle are 16 and 12.
Using the Pythagorean theorem: The square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides we find the hypotenuse
h = (16^2 + 12^2)^0.5
h = 20
The hypotenuse is 20.