Question:

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

Last updated: 7/14/2022

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

ΔABC 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 ΔADC so that ∠APB = 90°. (a) Prove that B, P, L, and A are concyclic. (b) Prove that ∠LPC = 90°.