Example 2 Apply Radical Multiplication An artist creates a pattern similar to the one shown, but he frames an equilateral triangle inside a square instead of a circle. The area of the square is
32cm^(2)
. a) What is the exact perimeter of the triangle b) Determine the exact height of the triangle. c) What is the exact area of the triangle? Express all answers in simplest form.

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Example 2 Apply Radical Multiplication An artist creates a pattern similar to the one shown, but he frames an equilateral triangle inside a square instead of a circle. The area of the square is

32cm^(2)

. a) What is the exact perimeter of the triangle b) Determine the exact height of the triangle. c) What is the exact area of the triangle? Express all answers in simplest form.

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