What is the length of each side of an equilateral triangle having an area of 9 root 3 cm square

Text Solution

8 cm36 cm4 cm6 cm

Answer : D

Solution : (d) `"Given, area of an equilateral triangle"=9sqrt3cm^(2)` <br> `because"Area of an equilateral triangle"=(sqrt3)/(4)("Side")^(2)` <br> `rArr(sqrt3)/(4)("Side")^(2)=9sqrt3` <br> `rArr("Side")^(2)=36` <br> `therefore "Side" =6 cm` <br> `["Taking positive square root becuase side is always positive"]` <br> `"Hence, the length of an equilateral triangle is "6cm.`

The length of each side of an equilateral triangle having an area of 9√3cm2 is

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The length of each side of an equilateral triangle having an area of 9 √3 cm 2 isA. 36 cmB. 4 cmC. 6 cmD. 8 cm

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