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show that the altitudes of equivilent root3/2 of a side

  • math - ,

    Wouldn't be easier just to post the problem as stated? The language above is gibberish. How about

    show that the altitudes of an equilateral triangle are √3/2 of a side

    Draw the altitude.
    Now you have a right triangle, with legs h, s/2 and hypotenuse s.

    Using the Pythagorean Theorem,

    h^2 + (s/2)^2 = s^2
    h^2 + s^2/4 = s^2
    h^2 = 3/4 s^2
    h = √3/2 s

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