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20 April, 03:14

The altitude of an equilateral triangle is 15. what is the length of each side

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  1. 20 April, 03:30
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    The altitude bisects one of the lines of the equilateral triangle and makes an angle of 90 degrees at the intersection.

    Let each side of the triangle be x, then: x^2 - (x/2) ^2 = 15^2

    x^2 - x^2/4 = 225

    3x^2/4 = 225

    3x^2 = 4 x 225 = 900

    x^2 = 900/3 = 300

    x = sqrt (300) ≈ 17.32
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