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2025 VIMC keystage3-IWYMIC individual Question 14

xIMC · 2025 VIMC keystage3-IWYMIC individual

Question 14

In the diagram below, circle $O$ is the circumcircle of the equilateral triangle $ABC$. Points $P$ and $Q$ are the midpoints of $AB$ and $AC$, respectively. Line $PQ$ intersects circle $O$ at points $S$ and $R$. If $AR=10$ cm, what is the length, in cm, of $BR$?

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