InterviewSolution
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InterviewSolution
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ABC is an equilateral triangle whose centroid is origin and base BC is along the line `11x +60y = 122`. ThenA. Area of the triangle is numerically equal to the perimeterB. Area of triangle is numerically double the perimeterC. Area of triangle is numerically three times the perimeterD. Area of triangle is numerically half of the perimeter |
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Answer» Correct Answer - A Let h be the length of the altitude from A, Distance from centroid to `BC = (h)/(3) = (122)/(sqrt(11^(2)+60^(2))) = (122)/(61) =2` `:. h = 6` is height of `DeltaABC` `:.` Area is `Delta = (h^(2))/(sqrt(3)) = 12 sqrt(3)` Primeter, `P = 3 xx (2h)/(sqrt(3)) = 12 sqrt(3)` |
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