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Determine the shaded area of the equilateral triangle in factored form.

Determine the shaded area of the equilateral triangle in factored form.

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Full solution

Q. Determine the shaded area of the equilateral triangle in factored form.
  1. Find Area of Triangle: First, let's find the area of the whole equilateral triangle. The formula for the area of an equilateral triangle is A=(3/4)⋅a2A = (\sqrt{3}/4) \cdot a^2, where aa is the length of a side.
  2. Calculate Side Length: We need the side length to calculate the area, but it's not given. Let's assume the side length is ss. So, the area of the whole triangle is A=(3/4)×s2A = (\sqrt{3}/4) \times s^2.
  3. Identify Shaded Area: Now, if there's a shaded area, it means some part of the triangle is not included. We need more information about the shaded area to proceed. Without this, we can't find the shaded area in factored form.

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