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In heron’s formula\(\sqrt{s*(s-a)*(s-b)*(s-c)}\), what is the value of s if a, b and c are sides of the triangle?(a) \(\frac{a+b+c}{4}\)(b) a+b+c(c) \(\frac{a+b+c}{2}\)(d) 2a+2b+2cI have been asked this question in a job interview.My question is based upon Heron’s Formula & Area of a Triangle by Heron’s Formula in chapter Heron’s Formula of Mathematics – Class 9

Answer» CORRECT OPTION is (C) \(\frac{a+b+c}{2}\)

Best EXPLANATION: In heron’s formula\(\sqrt{s*(s-a)*(s-b)*(s-c)}\), s is the half perimeter of the triangle.

Perimeter of the triangle having SIDES a, b and c is a + b + c.

Hence, s = half perimeter of the triangle = \(\frac{a+b+c}{2}\).


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