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The theorem I think we need is this one: Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.
Go ahead. I was just writing up a drawing for this problem.
@sharon_penn I'm waiting for you to say something about solving the equations on the attachment.
I know how to do this and will help if you will just tell me what your thinking is on the problem.
My thought was that the sides would equal so I thought that the answer x=2sqrt3 y=4 was correct
am i right?
I'll work the equation here. y/12 = 28/y y = 4*sqrt(21)
16/x = x/28 x = 8*sqrt(7)
Is that what you got?
no but I see how you got it :)
Okay. Learn those Geometry theorems. :)
Glad to help.