MathDB
Congruent Circumcircles

Source:

March 6, 2008
geometrycircumcircletrigonometrytrig identitiesLaw of SinesLaw of Cosines

Problem Statement

Let ABC ABC be a triangle with \angle A \equal{} 45^\circ. Let P P be a point on side BC BC with PB \equal{} 3 and PC \equal{} 5. Let O O be the circumcenter of ABC ABC. Determine the length OP OP.