The area of an equilateral triangle whose side is a cm is
[tex] \sqrt{} \frac{3}{4} {a}^{2} cm {}^{2} [/tex]
Find its height.
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By using Pythagorean theorem-
h2 = a2 - (a/2)2
h2 = 4a2 - a2 / 4
h2 = 3a2 /4
h = root(3)a/2