Question

In ∆ABC,D,E,are them midpoints of AB &AC Such that DE =4 .Find BC

Answer 1

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GMAT Club Forum Index  Problem Solving (PS)

In triangle ABC, if BC = 3 and AC = 4, then what is the : Problem Solving (PS)

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Difficulty: 700-Level      Source: Manhattan GMAT   

Topic Discussion

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enigma123

Feb 1, 2012

00:00

A

B

C

D

E

DIFFICULTY:

 

     75% (hard)

QUESTION STATS:

 based on 577 sessions

61% (01:41) correct

39% (01:25) wrong

Triangle.jpg (8.62 KiB) Viewed 209668 times

In triangle ABC, if BC = 3 and AC = 4, then what is the length of segment CD?

A. 3 
B. 15/4
C. 5 
D. 16/3 
E. 20/3

[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Dec 2012, 02:41, edited 2 times in total.
Reason: Edited the question and added the figure

 Kudos

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rvinodhini

Feb 26, 2012

Hi 

I need a quick clarification on the concept of perpendicular bisector.
With a perpendicular bisector, the bisector always crosses the line segment at right angles
If any line cuts another line at 90 then it should be a perpendicular bisector right - i.e it divided the line segment into equal halves at 90 ?

So here BC should be the perpendicular bisector and the AC=CD=3 right ?

Please let me know what am missing here.

I do understand the explanations in the other thread mentioned,but can someone clarify as to why AC is not the perpendicular bisector ?

Answer 2

If DE is 4 then , BC = 2 DE
BC = 2(4)
BC = 8..