ABCD is a rectangle with AB=50 and BC=120. E is a point on CD (possibly extended) such that AE=EC. What is the length of DE?

3 answers

119

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Let ABCD be a rectangle such that AB=5 and BC=12. There exist two distinct points X1 and X2 on BC such that ∠AX1D=∠AX2D=90∘. Suppose that d is the distance from X1 to X2. What is d2?

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