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The sum of the interior angles of any triangle always equals 180 degrees. With equal length sides, each angle will always be 60 degrees, irrespective of the length of the sides. Additionally, 1/2 B (base) x H (height) = A (area). If a line is drawn bisecting any interior angle to the nearest point on the opposite side (lateral), two right triangles will be produced. AND interestingly, when the two right triangles are placed next to each other along their hypotenuse, a rectangle is formed. Thus the formula for area of an equal lateral triangle can be shown to be the same as the formula for a rectangle when the length & width of the sides of the rectangle equal 1/2 the base and the height of the equal lateral triangle...QED

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