△ABC is right-angled at A and has AB
Posted: Thu Jul 14, 2022 3:46 pm
△ABC is right-angled at A and has AB<AC. Point D is on BC so that AB=AD. Point L is 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∘.
Posted: Thu Jul 14, 2022 3:46 pm
△ABC is right-angled at A and has AB<AC. Point D is on BC so that AB=AD. Point L is 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∘.