# How do you find the area of the largest isosceles triangle having a perimeter of 18 meters?

Use Lagrange multiplier

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To find the area of the largest isosceles triangle with a perimeter of 18 meters, divide the perimeter by 2 to find the length of each equal side. Then, use the formula for the area of a triangle: Area = (base * height) / 2. In an isosceles triangle, the base is one of the equal sides, and the height can be found using the Pythagorean theorem. Once you have the base and height, plug them into the formula to calculate the area.

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