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Geometry
Level
2
What is the area of triangle with sides 13,14,15 ?
The answer is 84.
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1 solution
Using Heron's formula (sometimes called Hero's formula)
Area of triangle = [s(s – a)(s – b)(s – c)]^1/2
i.e. square root of [s(s – a)(s – b)(s – c)] where 's' is semi perimeter of triangle.
s = (a + b + c)/2 using sides 13, 14, 15 semiperimeter = (13+14+15)/2 = 21
Area of triangle = [21(21 – 13)(21 – 14)(s(21 – 15)]^1/2 = 84 unit²