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The base of an equilateral triangle wit...

The base of an equilateral triangle with side 2a lies along the y–axis such that the mid–point of the base is at the origin. Find vertices of the triangle.

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To find the vertices of an equilateral triangle with a base of length \(2a\) lying along the y-axis and with the midpoint of the base at the origin, we can follow these steps: ### Step 1: Identify the Midpoint and Length of the Base Given that the midpoint of the base is at the origin (0, 0), and the length of the base is \(2a\), we can determine the coordinates of the endpoints of the base. The base lies along the y-axis. ### Step 2: Determine the Coordinates of the Base Vertices Since the base is centered at the origin and has a length of \(2a\), the coordinates of the endpoints of the base can be calculated as follows: - The point at the top of the base (point A) will be at \( (0, a) \). ...
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