Question
The sides of a triangle are 10 cm, 17 cm, and 21 cm.
Find the area of the triangle using Heronâs formula.Solution
Let the sides of the triangle be a = 10 cm, b = 17 cm, c = 21 cm. The semi-perimeter (s) is: s = (a + b + c)/2 = (10 + 17 + 21)/2 = 24 cm. The area of the triangle is given by: Area = â[s(s - a)(s - b)(s - c)] = â[24(24 - 10)(24 - 17)(24 - 21)] = â[24 Ă 14 Ă 7 Ă 3] = â[24 Ă 294] = â7056 = 84 cm². Correct answer: b. 84 cm²
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