Hi all!

I’m currently stuck with a geometric construction like this:

H, T and A (the area of the black shape) are known.

I need to define the shape, finding the position of the top vertex.

If A is larger than the area of the H-T triangle (H*T/2), there should be only one solution, but how to find it?

I’m searching for a math function to solve this… possibly non-iterative.

(This is actually the derivative graph of an animation for a web page , but that is unrelated now.)