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23 October, 16:08

The altitude of an equilateral triangle is 9 meters, what is the side length?

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  1. 23 October, 16:46
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    The altitude of an equilateral triangle separates it into two 30-60-90 degree triangles, and they have the ratio 1:sqrt3:2 (shorter leg: longer leg: hypotenuse), so divide 9 by the square root of 3 to find half of the length of a side:

    9/sqrt3=9sqrt3/3=3sqrt3

    Multiply by 2 two find the length of a side, which is 6sqrt3.
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