MathDB
2020 Canadian MO P2

Source:

March 14, 2020
geometryrhombusCanada

Problem Statement

ABCDABCD is a fixed rhombus. Segment PQPQ is tangent to the inscribed circle of ABCDABCD, where PP is on side ABAB, QQ is on side ADAD. Show that, when segment PQPQ is moving, the area of ΔCPQ\Delta CPQ is a constant.
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