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Question

The adjacent sides of a parallelogram are 15cmand10cm. If length of one diagonal of this parallelogram is 20cm, the length of other diagonal will be

A
30cm
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B
510cm
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C
105cm
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D
430cm
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Solution

The correct option is D 510cm
In a parallelogram, the relationship between the diagonals and the sides is d12+d22=2(a2+b2) where d1andd2 are the diagonal lengths and 'a' and 'b' are the sides of the parallelogram.
So, d12+d22=2(a2+b2)d12+202=2(102+152)d12+400=2(100+225)d12=650400=250d1=250=2510d1=510
The length of the other diagonal is 510 cm.

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