If and are three angles of a , whose area is . Let and be the sides opposite to the angles and respectively. If , then the product is equal to:

Explanation: Calculation: Given Area of the triangle is defined by Heron's Formula: Squaring both sides: Multiplying both sides by : Multiplying both sides by :

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NIMCET 2014 — Mathematics PYQ

NIMCET | Mathematics | 2014

If $A, B$ and $C$ are three angles of a $\Delta ABC$ , whose area is $\Delta$ . Let $a, b$ and $c$ be the sides opposite to the angles $A, B$ and $C$ respectively. If $s = \frac{a + b + c}{2} = 6$ , then the product $\frac{1}{3}s^2(s - a)(s - b)(s - c)$ is equal to:

Choose the correct answer: