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The length of each side of an equilatera...

The length of each side of an equilateral triangle having an area of 9sqrt3 cm^(2) is

A

8 cm

B

36 cm

C

4 cm

D

6 cm

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `"Given, are of an equilateral triangle"=9sqrt3cm^(2)`
`because"Area of an equilateral triangle"=(sqrt3)/(4)("Side")^(2)`
`rArr(sqrt3)/(4)("Side")^(2)=9sqrt3`
`rArr("Side")^(2)=36`
`therefore "Side" =6 cm`
`["taking positive square root becuase side is always positive"]`
`"Hence, the length of an equilateral triangle is "6cm.`
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