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P is a point inside a rectangle ABCD, where PA = 3, PC = 7 and PD = 6. Find PB.

 

 Aug 22, 2020
 #1
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Because PA=3 and PC=7, the diagonal AC=10. Since ABCD is a rectangle, it is also a parallelogram. Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent. Therefore PB=10-PD= 10-6=4. 

 

The answer is 4.

 Aug 22, 2020
 #2
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Point P is not in the center.  Therefore diagonal AC does not go through P.  In other words, APC is not a straight line. 

Guest Aug 22, 2020
 #3
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PB = √22 

Well, this is my answer.laugh

 

 Aug 23, 2020
edited by Dragan  Aug 23, 2020
edited by Dragan  Sep 3, 2020
edited by Dragan  Sep 3, 2020
edited by Dragan  Sep 3, 2020

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