# Solution: What is the maximum possible area for the triangle?

A triangle has variable sides x, y, z subject to the constraint such that the perimeter is fixed to 18 cm. What is the maximum possible area for the triangle?

#### Problem Statement: EE Board March 1998

A triangle has variable sides x, y, z subject to the constraint such that the perimeter is fixed to 18 cm. What is the maximum possible area for the triangle?
• A. 15.59 cm2
• B. 18.71 cm2
• C. 17.15 cm2
• D. 14.03 cm2

Note: For maximum area, the triangle must be an equilateral triangle.

The maximum possible area for the triangle is 15.59 cm2

Solution:

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