MathDB

571

Part of 1992 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 571 Commonwealth of Independent States 1991 # and 2 excircles

Source:

8/15/2019
ABCDABCD is a parallelogram. The excircle of ABCABC opposite AA has center EE and touches the line ABAB at XX. The excircle of ADCADC opposite AA has center FF and touches the line ADAD at YY. The line FCFC meets the lineAB AB at WW, and the line ECEC meets the line ADAD at ZZ. Show that WX=YZWX = YZ.
parallelogramexcircleequal segments