MathDB

5

Part of 2018 India PRMO

Problems(1)

2018 preRMO p5 computational with a tangential trapezium

Source:

8/7/2019
Let ABCDABCD be a trapezium in which AB//CDAB //CD and AD⊥ABAD \perp AB. Suppose ABCDABCD has an incircle which touches ABAB at QQ and CDCD at PP. Given that PC=36PC = 36 and QB=49QB = 49, find PQPQ.
geometrytrapeziumtangentialincircletrapezoid