Which of the following expressions gives the area of a triangle whose sides are

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

Problem

Which of the following expressions gives the area

\Delta

of a triangle whose sides are

a

b

and

c

, when

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

? (a)

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

(b)

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

(c)

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

(d)

\dfrac{1}{2}\sqrt{s(s-a)(s-b)(s-c)}