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Flapdragon
Okay, I need some help with a couple of problems.. ^^; First, if the altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments with lengths of 9 inches and 17 inches, what is the exact length of the altitude?
Let x = length of altitude. 9 is to x as x is to 17 9/x = x/17 x^2 = ± √ (9)(17) x = ± 3 √17 x = 3 √17
Theorem: The altitude drawn to the hypotenuse of a right triangle is the geometric mean between the segments of the hypotenuse. In this context, the geometric mean is a positive number.