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Use Heron’s formula to find the area: s = (50 + 78 + 112)/2 = 120 m. Area = √[s(s - a)(s - b)(s - c)] = √[120(120 - 50)(120 - 78)(120 - 112)]. = √[120 × 70 × 42 × 8] = √[2822400] = 1680 m². Height corresponding to the longest side = 2 × Area/Base = (2 × 1680)/112 = 30 m. Correct answer: a) Height = 30 m, Area = 1,680 m²
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