Abstract

My 15-year-old niece recently came to me with a problem that she couldn't solve. The question appeared on an old GCSE mathematics paper, which she was tackling as part of her revision. It involved the use of Pythagoras's theorem to calculate the diameter of a circle, in which a right-angled triangle appeared inside one half of the circle. She was given the lengths of two of the chords and was asked to calculate the circle's diameter.

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