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MathNet 2014 Question 9

Math Olympiad Vault · MathNet 2014

Question 9

Points $A$ and $C$ lie on the circumference of a circle with radius $\sqrt{50}$. $B$ is a point inside the circle such that $\angle ABC = 90^\circ$. If $AB = 6$ and $BC = 2$, find the distance from $B$ to the centre of the circle.

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