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In the circle above, chords AC and BD intersect at point P. If PD/PC
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06 Jun 2017, 11:18
06 Jun 2017, 11:18
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In the circle above, chords AC and BD intersect at point P. If PD/PC = 5/3, what is the length BP?
(1) AP=10
(2) Angle BPC measures 90 degrees.
Attachment:
IntersectP.png [ 13.62 KiB | Viewed 6131 times ]
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Re: In the circle above, chords AC and BD intersect at point P. If PD/PC
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22 Jun 2017, 21:53
22 Jun 2017, 21:53
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septwibowo
GMATinsight
Bunuel
In the circle above, chords AC and BD intersect at point P. If PD/PC = 5/3, what is the length BP?
(1) AP=10
(2) Angle BPC measures 90 degrees.
Attachment:
IntersectP.png
PAB and PCD will be similar triangles and we have the ratio of sides in one the triangles that would be same for the second triangles as well so we need only AP to find out BP
Statement 1: SUFFICIENT
Statement 2: NOT SUFFICIENT
Answer: option A
Halo GMATinsight, how can we conclude that PAB and PCD will be similar? There is no information about the other two angles in each triangle.
They are similar because
angle APB = angle CPD (Vertically opposite angles)
angle ABD = angle ACD (Angles drawn by same arc on circumference)
Two angles are same so third angle is bound be same hence the two triangles are similar.
I hope this helps!!!
General Discussion
Re: In the circle above, chords AC and BD intersect at point P. If PD/PC
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08 Jun 2017, 03:52
08 Jun 2017, 03:52
Since AP and BD are two chords which intersect, we know that:
AP*PC=BP*PD
Now lets take a look at the statements,
Statement 1: It gives us the value of AP and we already know the value of PD/PC. Using this information we can easily solve for the value of AP.
Statement 2: This is not sufficient to come to an answer as there is no measure of length mentioned in the information, only a ratio in the original question.
Therefore, the answer should be A.
AP*PC=BP*PD
Now lets take a look at the statements,
Statement 1: It gives us the value of AP and we already know the value of PD/PC. Using this information we can easily solve for the value of AP.
Statement 2: This is not sufficient to come to an answer as there is no measure of length mentioned in the information, only a ratio in the original question.
Therefore, the answer should be A.
