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MathNet 2023-part-06 — 191 problems (EN–VI) Question 31

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 31

The trapezoid $ABCD$ has bases of lengths $|AB| = 120\ \mathrm{mm}$ and $|CD| = 30\ \mathrm{mm}$ and right angles at the vertices $B$ and $C$. The diagonals of the trapezoid intersect at the point $E$. How many millimetres is the point $E$ away from the side $BC$?

(A) 21
(B) 22
(C) 23
(D) 24
(E) 25