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<p>One side of a triangle is divided into segments of length a and b by the inscribed circle, with radius r. Prove that the area is: abr(a+b)/ab-r^2</p>
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<p>One side of a triangle is divided into segments of length a and b by the inscribed circle, with radius r. Prove that the area is: abr(a+b)/ab-r^2</p>
A very nice proof question to extend the learning of the more able A-level students. Complete with teacher notes and the solution, this would make an ideal consolidation lesson on the topic of proof or having completed work on circle segments and triangles.