A triangle has two sides each of length

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A triangle has two sides each of length 6 cm6\,\text{cm}. The third side can be 6 cm6\,\text{cm}, 7 cm7\,\text{cm}, 8 cm8\,\text{cm} or 9 cm9\,\text{cm}. For which length of the third side is the area of the triangle the greatest? (a) 9 cm9\,\text{cm} (b) 8 cm8\,\text{cm} (c) 7 cm7\,\text{cm} (d) 6 cm6\,\text{cm}

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