A triangle must have perimeter

MATHEMATICS · Single correct · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

A triangle must have perimeter 26 cm26\,\text{cm}. Which of the following sets of side lengths will give the greatest area? (a) 8 cm,  8 cm,  10 cm8\,\text{cm},\;8\,\text{cm},\;10\,\text{cm} (b) 9 cm,  8 cm,  9 cm9\,\text{cm},\;8\,\text{cm},\;9\,\text{cm} (c) 10 cm,  7 cm,  9 cm10\,\text{cm},\;7\,\text{cm},\;9\,\text{cm} (d) 6 cm,  10 cm,  10 cm6\,\text{cm},\;10\,\text{cm},\;10\,\text{cm}

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