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Analytical Geometry

Che's Avatar
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Joined: 13 Dec 2009
Post: 21
20 Dec 2009 21:29:24 IST
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A quadrilateral has sides 2,3,9....diagonals are at rt.angles. Find all possible values of
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A quadrilateral has sides 2,3,9....diagonals are at right.angles.Find all possible values of the 4th side

p.S got this from another forum


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kabi's Avatar

Blazing goIITian

Joined: 11 Jan 2009
Posts: 575
20 Dec 2009 22:11:31 IST
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Check d figure ::

either CD would be of 9 length or CB .

Case I :: when BC=9

AS AC is perpendicular to BD

In triangle

AOD

p2+q2=4

In tri. AOB

q2+r2=9

Also in triangle BOC

s2+r2 =81

using eq. I and III in II

gives

p2+s2 =76 =CD2

CD=sqrt(76 )

Case II

CD=9

repeat the above method

BC =sqrt(86)

thank u

 

kabi's Avatar

Blazing goIITian

Joined: 11 Jan 2009
Posts: 575
20 Dec 2009 22:14:34 IST
1 people liked this

Che's Avatar

New kid on the Block

Joined: 13 Dec 2009
Posts: 21
20 Dec 2009 22:36:11 IST
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 oh....i got teh ans jus after posting here.........anyways thanks




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