Which of the following correctly gives the area of a triangle with side lengths and…

MATHEMATICS · Single correct · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

Which of the following correctly gives the area

A

of a triangle with side lengths

a, b, c

and semiperimeter

s

? (a)

A = \sqrt{s\,(a-b)(b-c)(c-a)}

(b)

A = \sqrt{s\,(s-a)(s-b)(s+c)}

(c)

A = \sqrt{s\,(s-a)(s-b)(s-c)}

(d)

A = \sqrt{(a+b+c)(s-a)(s-b)(s-c)}