For a triangle with fixed perimeter

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

P

, the quantity

s(s-a)(s-b)(s-c)

in Heron’s formula attains its maximum value when which of the following conditions is satisfied? (a) Exactly two sides are equal (b)

a=b=c

(c)

a^{2}+b^{2}=c^{2}

(d) One side equals

\dfrac{P}{2}