InterviewSolution
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InterviewSolution
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Show that the points A(-3, 2), B(-5, -5), C(2, -3) and D(4, 4) are the vertices of a rhombus. Find the area of this rhombus. |
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Answer» Correct Answer - 45 sq units Diagonal `AC = sqrt((-5)^(2) +5^(2)) = sqrt(50) = 5sqrt(2)`, and diagonal `BD = sqrt(9^(2) + 9^(2)) = sqrt(162) = 9sqrt(2).` `therefore " area " = ((1)/(2) xx AC xx BD) = ((1)/(2) xx 5sqrt(2) xx 9sqrt(2))` sq units = 45 sq units. (Hint : Area of a rhombus `= (1)/(2) xx` (product of its diagonals). |
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