If one side of a rhombus has endpoints 4,5 and 1,1, then the maximum area of the rhombus is

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50 sq. units

25 sq. units

30 sq. units

20 sq. units

answer is B.

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Detailed Solution

From the figure,Area of rhombus =2×Area of ΔABD =2×12×5×5sinθ 25 sinθHence, the maximum area is 25 ( when sinθ=1).

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