Calculate the area of an equilateral triangle of side 8cm
A
8√3
B
16
C
4√3
D
16√3
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
An equilateral triangle has all sides equal and all angles equal as 600
Area = \(\frac{1}{2}\) absin\theta
Area = \(\frac{1}{2}\) x 8 x 8 x sin60
= \(\frac{1}{2}\) x 64 x \(\sqrt{\frac{3}{2}}\)
= 16\sqrt3 cm\(^2\)
Source: Myschool Past Questions Archive (Record #47589)