Consider a , and let , , and denote the lengths of the sides opposite vertices , ,…

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Consider a △ABC\triangle ABC, and let aa, bb, and cc denote the lengths of the sides opposite vertices AA, BB, and CC, respectively. a=6a=6, b=10b=10, and the area of the triangle is 15315\sqrt3. If ∠ACB\angle ACB is obtuse and rr denotes the inradius of the triangle, find r2r^2.

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