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MathNet 2017-part-03 — 176 problems (EN–VI) Question 143

Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)

Question 143

Quadrilateral $ABCD$ has perpendicular diagonals. It is also known that $AB=100$, $BC=120$, $CD=75$. Determine the length of $AD$.

(A) 30
(B) $24 \sqrt{2}$
(C) $20 \sqrt{3}$
(D) 35
(E) $\frac{125}{2}$