Algebra-2

In a 30 - 60 - 90 triangle, the ratios of the sides are respectively.

Let the side opposite the angle (the shorter leg) be , the side opposite the angle (the longer leg) be , and the side opposite the angle (the hypotenuse) be

The perimeter of a triangle is the sum of the lengths of its sides. So for our 30 - 60 - 90 triangle, the perimeter

We are given that the perimeter

So we have the equation:

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