MathDB

3

Part of 1983 Poland - Second Round

Problems(1)

DL = DM if < PAC = \< PBC

Source: Polish MO Recond Round 1983 p3

9/9/2024
The point P P lies inside the triangle ABC ABC , with ∡PAC=∡PBC \measuredangle PAC = \measuredangle PBC . The points L L and M M are the projections P P onto the lines BC BC and CA CA , respectively, D D is the midpoint of the segment AB AB . Prove that DL=DM DL = DM .
geometryequal segments