## 01 Maximum area of triangle of given perimeter

**Problem 1**

Show that the largest triangle of given perimeter is equilateral.

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**Problem 1**

Show that the largest triangle of given perimeter is equilateral.

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**Problem***BC* of trapezoid *ABCD* is tangent at any point on circular arc *DE* whose center is *O*. Find the length of *BC* so that the area of *ABCD* is maximum.