The perimeter of an equilateral triangle is 36\sqrt{3} cm. Find its height.

Options:
a) 10 cm
b) 18 cm
c) 9 cm
d) 6 cm

Solution:

Perimeter of an equilateral triangle = 3 x sides =36\sqrt{3}
side =12\sqrt{3}

Height of triangle is = \frac{\sqrt{3}}{2} \times side
=\frac{\sqrt{3}}{2} \times 12\sqrt{3}
= 6\sqrt3 \times \sqrt3
= 18

Ans : Height of = 18 cm

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