# 10.5“ and 32” hypotenuse, a=8.5, b=42.5, what angles are the 10.5“ and 32” Hypotenuse?

I have a ramp that has a concave "kink" in the angle.

The first length of the hypotenuse is 10.5", the next is 32".

The triangle is 8.5" tall (a) The triangle is 42.5" long (b)

How do I figure out what the angles of the two hypotenuse are?

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The Pythagorean theorem tells you that were there no kink, the hypothenuse would be $\sqrt{42.5^2+8.5^2}=43.3417\ldots$ Now you have a triangle whose sides are 43.3417, 10.5 and 32, which is pretty weird since there is no non-degenerate triangle with these sides.

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