2021 AIME I #9

August 1, 2022 mathproblemsolvingskills

Let $ABCD$ be an isosceles trapezoid with $AD = BC$ and $AB<CD$ . Suppose that the distances from $A$ to lines $BC, CD$ , and $BD$ are $15, 18,$ and $10$ , respectively. Let $K$ be the area of $ABCD$ . Find $\sqrt{2} \cdot K$ .

Published by mathproblemsolvingskills

I coach students preparing for MathCounts and the AMCs, and I teach using curricula published by Art of Problem Solving. View all posts by mathproblemsolvingskills

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