Advanced Geometric Problem & Solution (Twice a week update) Now 4632 problems posted.
<Tri-2023-2076>, hint
Since M is center of the right triangle ADC
<AMP=<CPD=2<CAD=2(90-C)=<AOP.
<AOB+<AOP=2C=180-2C=180. Hence B,O,P are collinear
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