Question: Plzz solve.Thank u Let A be the point at (0,1) in the upper-half plane, and B be the point at (0,10). Is there a point

Plzz solve.Thank u

Let A be the point at (0,1) in the upper-half plane, and B be the point at (0,10). Is there a point C forming a hyperbolic triangle ABC in standard position such that angle BAC = pi/2 and angle ABC = pi/4? If so, find the point C. If not, prove that there is no such point

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