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14

To the nearest whole number, what is the area of a triangle each of whose sides is 10 inches?

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mathematics

A triangle with three equal sides is known as an equilateral triangle. While the standard formula for a triangle's area is (1/2) * base * height, we are not given the height directly. To find it, you can imagine splitting the triangle down the middle, creating two identical right-angled triangles. Each one has a long side (hypotenuse) of 10 inches and a base of 5 inches. Using the Pythagorean theorem, we can calculate that the height is the square root of 75, or about 8.