Question : If the side of an equilateral triangle is 8 cm, then find the area of the triangle (correct to two decimal places).
Option 1: 27.17 cm2
Option 2: 27.27 cm2
Option 3: 27.71 cm2
Option 4: 27.72 cm2
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Correct Answer: 27.71 cm 2
Solution :
Given: The side of an equilateral triangle = 8 cm
So, the area of the equilateral triangle = $\frac{\sqrt3 a^2}{4}$
= $\frac{\sqrt3× 8^2}{4}$
= $16\sqrt3$
= 16 × 1.732
= 27.71 cm
2
Hence, the correct answer is 27.71 cm
2
.
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