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Question

If a diagonal of length 4 divides a parallelogram into 2 triangles in which one triangle has sides equal to 3, 4, 5 in length. Find the perimeter of the parallelogram.(Given parallelogram is not a rectangle)

A
16
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B
14
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C
18
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D
12
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Solution

The correct option is C 18
Let the parallelogram be ABCD and the diagonal be AC.
Angle B cannot be 900 because it is not a rectangle.
Let CAB = 900
So, AB = 3 and BC = 5 because length of the diagonal is given as 4.
Perimeter =3+5+3+5=18

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