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ViviTo find the area of a triangle given the lengths of its three sides (a, b, and c), you can use Heron's formula. First, calculate the semiperimeter (s) of the triangle using the formula s = (a + b + c) / 2. In this case, a = 10 cm, b = 5 cm, and c = 8 cm, so s = (10 + 5 + 8) / 2 = 11.5 cm. Next, calculate the area using Heron's formula: Area = √[s(s-a)(s-b)(s-c)]. Plugging in the values, we get Area = √[11.5(11.5-10)(11.5-5)(11.5-8)] = √[11.51.56.5*3.5] = √(381.9375) ≈ 19.54 square cm.
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