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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8987
GMAT 1: 760 Q51 V42
GPA: 3.82
If 2 line segments AB and CD is collinear, what is the sum of AB and C  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 82% (01:11) correct 18% (01:03) wrong based on 56 sessions

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If 2 line segments AB and CD is collinear, what is the sum of AB and CD?

A. 5
B. 6
C. 8
D. 9
E. 10

* A solution will be posted in two days.

Attachments 3_173.png [ 10.65 KiB | Viewed 1161 times ]

_________________
Math Expert V
Joined: 02 Aug 2009
Posts: 8587
Re: If 2 line segments AB and CD is collinear, what is the sum of AB and C  [#permalink]

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MathRevolution wrote:
If 2 line segments AB and CD is collinear, what is the sum of AB and CD?

A. 5
B. 6
C. 8
D. 9
E. 10

* A solution will be posted in two days.

Both ABC and ADE are right triangle ..
so HYP AD of triangle ADE = $$\sqrt{12^2+9^2} = 15$$..
and BC is $$\sqrt{3^2+4^2} = 5$$..

hence AB + CD = 15-5=10
E
_________________
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8987
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If 2 line segments AB and CD is collinear, what is the sum of AB and C  [#permalink]

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According to the Pythagoras theorem, we get sides of a triangle as 9:12:15. Then this can be reduced to 3:4:5. Hence, 15-5=10, making E as the correct answer.
_________________ Re: If 2 line segments AB and CD is collinear, what is the sum of AB and C   [#permalink] 10 May 2016, 17:54

# If 2 line segments AB and CD is collinear, what is the sum of AB and C  