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The height is a leg of a right triangle. The other leg is 1/2 of the side of the original triangle and the hypotenuse is a side of this same triangle.

Use the Pythagorean theorem to solve for the height:

If s is the length of the sides of the equilateral triangle,

The height is the square root of s squared minus (s/2) squared.

Since (s/2) squared is s squared over 4, s squared minus (s/2) squared is 3/4 s squared.

I'll let you finish it off.

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16y ago

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Q: Formula- Height of an equilateral triangle?
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