Question 588249
    Find the perimeter of an equilateral triangle with an altitude of length 33
.
Let x = length of one side
then applying Pythagorean Theorem
{{{(x/2)^2 + 33^2 = x^2}}}
{{{x^2/4 + 1089 = x^2}}}
{{{x^2 + 4356 = 4x^2}}}
{{{4356 = 3x^2}}}
{{{1452 = x^2}}}
{{{22sqrt(3) = x}}}
.
perimeter is
{{{3*22sqrt(3)}}}
{{{66sqrt(3)}}} exact answer
{{{114.315}}} approximate answer