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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8436
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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08 May 2016, 19:12
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:13) correct 19% (01:03) wrong based on 55 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.

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Aug 2009 Posts: 8340 Re: If 2 line segments AB and CD is collinear, what is the sum of AB and C [#permalink] ### Show Tags 08 May 2016, 19:43 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 Joined: 16 Aug 2015 Posts: 8436 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] ### Show Tags 10 May 2016, 18:54 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. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: If 2 line segments AB and CD is collinear, what is the sum of AB and C   [#permalink] 10 May 2016, 18:54
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