The triangles in the following figure are all equilateral. Area of the bigger triangle is x. What is the area of the shaded region in terms of x ?

Question

The triangles in the following figure are all equilateral. Area of the bigger triangle is x. What is the area of the shaded region in terms of x ?
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Solution 1

To find the area of the shaded region in terms of x, we need to determine the ratio of the areas between the shaded region and the larger equilateral triangle.

Let's label the vertices of the larger equilateral triangle as A, B, and C. The shaded region is formed by three smaller equilateral triang Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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