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The area of an equilateral triangle with...

The area of an equilateral triangle with side `2sqrt3` cm is

A

`5.196" "cm^(2)`

B

`0.866" "cm^(2)`

C

`3.496" "cm^(2)`

D

`1.732" "cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `"Given, side of an equilateral triangle is" 2sqrt3 cm`.
`"Area of an equilateral triangle"=(sqrt3)/(4)("Side")^(2)`
`=(sqrt3)/(4)(2sqrt3)^(2)=(sqrt3)/(4)xx4xx3`
`=3sqrt3=3xx1.732=5.196" "cm^(2)`
`"Hence, the area of an equilateral triangle is 5.196 " "cm^(2).`
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    A
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