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The perimeter of an equilateral triangle...

The perimeter of an equilateral triangle is 60 m. The area is

A

`10sqrt3" "m^(2)`

B

`15sqrt3" "m^(2)`

C

`20sqrt3" "m^(2)`

D

`100sqrt3" "m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Let each side of an equilateral be x.
Then, perimeter of an equilateral triangle =60 m
`therefore x+x+x=60rArr3x=60rArrx(60)/(3)=20m`
`"Area of an equilateral triangle"=(sqrt3)/(4)("Side")^(2)=(sqrt3)/(4)xx20xx20=100sqrt3 m^(2)`
`"Thus, the area of triangle is"" "100sqrt3m^(2)`.
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