The length of one side of an equilateral triangle is 6 square root 3 meters. Find the length of one altitude of the triangle.

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Mathematics

Taylor Ferrell

21 July, 13:52

The length of one side of an equilateral triangle is 6 square root 3 meters. Find the length of one altitude of the triangle.

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Ian · Answer 1

An equilateral triangle follow the 30-60-90 pattern when split in half by its altitude. We quickly realize that the shortest leg is 3sqrt3, and the altitude, the longer leg, is 3sqrt3 * sqrt3 = 9 meters long. All three altitudes of the triangle are 9 meters long.