Which of the following is the correct algebraic form of Heron’s formula for the area…

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

Problem

Which of the following is the correct algebraic form of Heron’s formula for the area

\Delta

of a triangle with sides

a

b

c

and semi-perimeter

s

? (a)

\Delta = \tfrac{1}{2}ab\sin C

(b)

\Delta = s(s-a)(s-b)(s-c)

(c)

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

(d)

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