SOLUTION: if the base of a right triangle is x+2 and the height is 2x, which expression represents the hypotenuse?

Algebra ->  Triangles -> SOLUTION: if the base of a right triangle is x+2 and the height is 2x, which expression represents the hypotenuse?      Log On


   



Question 999028: if the base of a right triangle is x+2 and the height is 2x, which expression represents the hypotenuse?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
%28x%2B2%29%5E2%2B%282x%29%5E2=H%5E2
H=sqrt%28%28x%2B2%29%5E2%2B%282x%29%5E2%29
H=sqrt%28x%5E2%2B4x%2B4%2B4x%5E2%29
H=sqrt%285x%5E2%2B4x%2B4%29