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Question
The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm2 is ______.
Options
8 cm
36 cm
4 cm
6 cm
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Solution
The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm2 is 6 cm.
Explanation:
Given: Area of an equilateral triangle = `9sqrt(3)` cm2
Area of an equilateral triangle = `sqrt(3)/4` × (Side)2
`sqrt(3)/4` × (Side)2 = `9sqrt(3)`
(Side)2 = 9 × 4
Side = `sqrt(9 xx 4)`
Side = 3 × 2
Side = 6 cm
Therefore, the length of an equilateral triangle is 6 cm.
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