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?ABC is right-angled at A and has AB < AC. Point D is on BC...

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Algebra

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?ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = BD. Point Lis the midpoint of AD. Let P be the point on the circumcircle of ?ADC so that ?APB = 90.(a) Prove that B, P, L, and A are concyclic.(b) Prove that ?LPC = 90.

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