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MathNet 2022-part-04 — 197 problems (EN–VI) Question 47

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 47

Let $XZ$ be a diameter of circle $\omega$. Let $Y$ be a point on $XZ$ such that $XY = 7$ and $YZ = 1$. Let $W$ be a point on $\omega$ such that $WY$ is perpendicular to $XZ$. What is the square of the length of the line segment $WY$?

(a) 7
(b) 8
(c) 10
(d) 25