# Triangle with two sides given find the greatest area if the area is prime number [closed]

A triangle has two sides of lengths 4 centimeters and 6 centimeters. Its area is n square centimeters, where n is a prime number. What is the greatest possible value of n? (A) 11 (B) 12 (C) 19 (D) 23 (E) 24

## closed as off-topic by heropup, José Carlos Santos, Joshua Mundinger, mrtaurho, Michael RybkinApr 23 at 21:09

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1. Area of a triangle $$A = \left|\frac{1}{2}ab\sin\theta\right|$$ where $$a, b$$ are the lengths of two sides and $$\theta$$ is the angle between them.
2. $$|\sin\theta| \le 1$$