Envelope of Hypotenuse of Right-angled Triangles with Constant Perimeter

To create a triangle with constant perimeter k, we set one leg equal to a, and then solve for the other side length. The envelop is a circle. Note that default settings will not set the perimeter equal to k, even when the correct side lengths are entered. The variable k must be set to be larger than a in the variables window so that k is greater than a. Expressions |
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