Question

If A is the area and 2s, the sum of three sides of a triangle, then –

• A. A ฃ
• B. A ฃ $\frac { \mathrm { s } ^ { 2 } } { 2 }$
• C. A >
• D. None of these

Answer 1

Answer: (A)

A ฃ

Answer 2

A² = s(s – a) (s – b) (s – c) and 2s = a + b + c

Now A.M. ³ G.M.

Ž ³ [(s – a) (s – b) (s – c)]^1/3

Ž ³ $\frac { A ^ { 2 } } { \mathrm {~S} }$ Ž A £ $\frac { s ^ { 2 } } { 3 \sqrt { 3 } }$ .