Two triangles have perimeter

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

Problem

Two triangles have perimeter 30 cm30\,\text{cm}. Triangle A has sides 12 cm,  8 cm12\,\text{cm},\;8\,\text{cm} and 10 cm10\,\text{cm}. Triangle B has sides 11 cm,  9 cm11\,\text{cm},\;9\,\text{cm} and 10 cm10\,\text{cm}. Which triangle has the larger area? (a) Triangle A has the larger area (b) Both triangles have the same area (c) Triangle B has the larger area (d) The information is insufficient to compare the areas

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