There is no hypotenuse, since those sides do not form a right triangle.
Still, we can get the height. If we call those sides a,b,c then using the law of cosines,
17^2 = 18^2 + 19^2 - 2*18*19*cosA
cosA = 11/19
So, the height h (from C to AB), is given by
h/18 = sinA
h = 18 sinA = 18√(1 - (11/19)^2) = 72/19 √15
If you wanted the height to some other side, you'll have to go through these steps with the appropriate modifications.
So I’m given a triangle. The side lengths are 17, 18, and 19 is the hypotenuse. I have to find the height (x) algebraically.
How?
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