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Question
The area of an equilateral triangle with side `2sqrt(3)` cm is ______.
Options
5.196 cm2
0.866 cm2
3.496 cm2
1.732 cm2
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Solution
The area of an equilateral triangle with side `2sqrt(3)` cm is 5.196 cm2.
Explanation:
Area of an equilateral triangle of side a is given by `sqrt(3)/4 a^2`
Given that `a = 2sqrt(3)`
Area (Δ) = `sqrt(3)/4 a^2`
= `sqrt(3)/4 (2sqrt(3))^2`
= `sqrt(3)/4 xx 12`
= `3sqrt(3)`
= 5.196 cm2
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