MathDB

2

Part of 1999 Argentina National Olympiad

Problems(1)

equal segments, circles, tangents (1999 Argentina OMA L2 p2)

Source:

6/16/2020
Let C1C_1 and C2C_2 be the outer circumferences of centers O1O_1 and O2O_2, respectively. The two tangents to the circumference C2C_2 are drawn by O1O_1, intersecting C1C_1 at PP and P′P'. The two tangents to the circumference C1C_1 are drawn by O2O_2, intersecting C2C_2 at QQ and Q′Q'. Prove that the segment PP′PP' is equal to the segment QQ′QQ'.
geometrysegmentscirclesTangents