A triangle has sides 9 cm, 12 cm and 15 cm. Find the length (in cm) of the altitude drawn to its longest side.

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Accepted Answer

7.2. 9² + 12² = 81 + 144 = 225 = 15², so the triangle is right-angled and its area = ½ × 9 × 12 = 54 cm². Taking 15 cm as the base, ½ × 15 × h = 54, so h = 108/15 = 7.2 cm.

A triangle has sides 9 cm, 12 cm and 15 cm. Find the length (in cm) of the altitude drawn to its longest side.

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