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705-805 (Hard)|   Geometry|      
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nick1816
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ABC is a triangle. D is a point on AB such that AD:DB=3:2 . E is the 13 May 2019, 20:22
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C
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Difficulty:

75% (hard)

Question Stats:

44% (02:54) correct 56% (02:47) wrong based on 25 sessions

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ABC is a triangle. D is a point on AB such that AD:DB=3:2 . E is the midpoint on BC. AE cuts CD at P. Find the ratio of CP:PD ?

A. 5:4
B. 2:1
C. 5:3
D. 4:3
E. 5:2
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C

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abhishek31
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ABC is a triangle. D is a point on AB such that AD:DB=3:2 . E is the 14 May 2019, 10:35
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Hi, can anyone offer a solution to the problem?
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nick1816
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ABC is a triangle. D is a point on AB such that AD:DB=3:2 . E is the 14 May 2019, 21:22
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Draw a line, DF parallel to AE.
BDF is similar to BAE
AD/BD = FE/BF
3/2=FE/BF
if FE=3k, then BF=2k

E is the midpoint of BC, Hence EC= 3k+2k=5k

Also, CPE is similar to CDF
CP/PD = EC/FE
CP/PD= 5k/3k=5/3


abhishek31
Hi, can anyone offer a solution to the problem?
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jfranciscocuencag
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ABC is a triangle. D is a point on AB such that AD:DB=3:2 . E is the 15 May 2019, 17:20
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nick1816
Draw a line, DF parallel to AE.
BDF is similar to BAE
AD/BD = FE/BF
3/2=FE/BF
if FE=3k, then BF=2k

E is the midpoint of BC, Hence EC= 3k+2k=5k

Also, CPE is similar to CDF
CP/PD = EC/FE
CP/PD= 5k/3k=5/3


abhishek31
Hi, can anyone offer a solution to the problem?
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Hello nick1816!

How do we know that we are taking the correct ocrresponding sides?

Kind regards!
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ABC is a triangle. D is a point on AB such that AD:DB=3:2 . E is the 30 Jul 2025, 03:17
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