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# a parallelogram has 2 sides:14, 18 one of the diagonals is

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a parallelogram has 2 sides:14, 18 one of the diagonals is [#permalink]

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08 Nov 2004, 19:52
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a parallelogram has 2 sides:14, 18 one of the diagonals is 16, what is the length of the othe diagonal?
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Paul

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Director
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08 Nov 2004, 20:46

I used the formula d1^2 + d2^2 =2(a^2+b^2)

where d1 and d2 are the two diagonals and a and b are the two sides.

Is this a GMAT question?

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08 Nov 2004, 21:24
I got 28 by a longer method - eventually finding the height and then the other diagonal. Actually the formula got derived. Good to know the formula though. Thanks gayathri.

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09 Nov 2004, 07:11
Are there some specific requirements to use this formula ?

Is there any expansion in the trapezoid case ?

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09 Nov 2004, 08:17
I am not sure about how/ if it extends to trapezoid, but it extends a to a Rhombus: d1^2 + d2^2 = 4a^2

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09 Nov 2004, 21:30
OA is 28
Nice gayathri. I just wanted to bring up this formula as it could be useful. You just never know, the GMAT is full of surprises.
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Paul

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10 Nov 2004, 06:46
Thanks for making us get out of the comfort zone Paul!

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01 May 2005, 15:04
Paul wrote:
a parallelogram has 2 sides:14, 18 one of the diagonals is 16, what is the length of the othe diagonal?

it is useful concept to all. therefore, i thought it is useful to bring it into the discussion.

Sum of the square of Diagnals of parallogram = D1^2 + D2^2 = 2 (a^2 + b^2), Where D1 and D2 are the two diagonals and a and b are the two different sides of the parallogram.

Last edited by MA on 01 May 2005, 17:57, edited 3 times in total.

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01 May 2005, 15:52
Thanks Paul, I never knew about such a forumla. Nice to know that

Thanks once again.

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01 May 2005, 15:52
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