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The area of an equilateral triangle is numeri-cally equal to its perimeter. Find its perimetercorrect to 2 decimal places. |
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Answer» Let the side of an equilateral triangle is a perimeter of equilateral triangle= area of equilateral triangle 3a= (√3/4)a^2a= (4×3)/√3a= (4×3)×√3/ √3×√3. ( by rationalising)a= 4√3side = 4√3perimeter of equilateral triangle= 3aperimeter of equilateral triangle= 3× 4√3perimeter of equilateral triangle= 12√3perimeter of equilateral triangle= 12× 1.732perimeter of equilateral triangle= 20.78 units [ value of √3 = 1.732] |
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