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MathNet 2010 — Part 06 Question 51

Math Olympiad Vault · MathNet 2010 — Part 06

Question 51

the biased diagonal $AC$ rectangle $ABCD$, in which it is $|AB| \gt |BC|$, intersects the side $CD$ in a point $E$. a circle with a center $E$ and a radius $AE$ it cuts the side $AB$ yet in a point $F$. Let it be $G$ a perpendicular projection of a point $C$ to a line $EF$. show that a point $G$ It lies on a diagonal $BD$.