3. If the area of the equilateral triangle is 36V3 cm2 then its perimeter is a) 64cm b) 60 cm c) 36cm d) none of these
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Now it is given that the area of the equilateral triangle is 363–√ cm2.
So equate this value to the formula of the area of the equilateral triangle and calculate the length of the side.
√3/4a^2=36√ 3
⇒a2=36×4=144=(12)2
⇒a=12 cm
So the side of the equilateral triangle is 12 cm.
Now calculate the perimeter of the equilateral triangle according to equation (1) we have,
⇒S=3a=3×12=36 cm.
So the perimeter of the equilateral triangle is 36 cm.
So this is the required answer.
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36 CM
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