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.
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
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In the circle above, chords AC and BD intersect at point P.
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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.
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
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Your Answer
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Since AP and BD are two chords that intersect, we have AP*PC = BP*PDVJesus12 wrote:
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.
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
=> PC/PD = BP/AP
5/3 = BP/AP
BP = 5*AP/3
If we get the value of AP, we get the value of BP.
Let's take each statement one by one.
(1) AP = 10.
Sufficient.
(2) Angle BPC measures 90 degrees.
Certainly insufficient.
The correct answer: A
Hope this helps!
-Jay
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