Question: AABC is right-angled at A and has AB < AC. Point D is on BC so that AB = BD. Point L is the

AABC is right-angled at A and has AB < AC. Point D

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

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