Sides of a triangle = 8 cm, 6 cm, 4 cm. Find the lower height of the triangle.

The lower height corresponds to the larger side
Semi-perimeter p = (a + b = c) / 2 = (8 + 6 + 4) / 2 = 9 cm
Area S = √p (p-a) (p-b) (p-c) = √9 * 1 * 3 * 5 = √135 = 3√15 cm²
S = ½a * h, hence h = 2S / a = 6√15 / 8 = 0.75√15 ≈ 2.9 cm



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