Which of the following gives the area of a triangle whose side lengths are and whose…

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

Problem

Which of the following gives the area of a triangle whose side lengths are

a,\,b,\,c

and whose semi-perimeter is

s=\frac{a+b+c}{2}

? (a)

\dfrac{abc}{4s}

(b)

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

(c)

\dfrac12 ab\sin C

(d)

\dfrac12 \sqrt{s(s-a)(s-b)(s-c)}