GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 10:45

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# The median of a triangle is the line from any vertex to the midpoint o

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58381
The median of a triangle is the line from any vertex to the midpoint o  [#permalink]

### Show Tags

04 Mar 2015, 04:18
4
00:00

Difficulty:

45% (medium)

Question Stats:

71% (02:18) correct 29% (02:51) wrong based on 199 sessions

### HideShow timer Statistics

The median of a triangle is the line from any vertex to the midpoint of the opposite side. Triangle ABC has vertices A = (0, 5), B = (–1, –1), and C = (5, 2). What is the slope of the median from A to the midpoint of BC?

A. –3/4
B. –4/3
C. –5
D. –5/2
E. –9/4

Kudos for a correct solution.

_________________
##### Most Helpful Expert Reply
Math Expert
Joined: 02 Sep 2009
Posts: 58381
Re: The median of a triangle is the line from any vertex to the midpoint o  [#permalink]

### Show Tags

08 Mar 2015, 14:44
3
2
Bunuel wrote:
The median of a triangle is the line from any vertex to the midpoint of the opposite side. Triangle ABC has vertices A = (0, 5), B = (–1, –1), and C = (5, 2). What is the slope of the median from A to the midpoint of BC?

A. –3/4
B. –4/3
C. –5
D. –5/2
E. –9/4

Kudos for a correct solution.

For your visual understanding, here’s a diagram of the situation.

First to find the midpoint of B & C — average the x-coordinates: (–1+ 5)/2 = 2; and average the y-coordinates: (–1 + 2)/2 = 1/2. Thus, the midpoint has coordinates (2, 1/2). We want the slope from A = (0, 5) to (2, 1/2). The rise is the change in the y-coordinates: 1/2 – 5 = -9/2. The run is the change in the x-coordinates: 2 – 0 = 2. Slope = rise/run = [–9/2]/2 = –9/4.

Answer = (E)
Attachment:

las2_img5.png [ 119.27 KiB | Viewed 2336 times ]

_________________
##### General Discussion
Senior Manager
Joined: 08 Dec 2015
Posts: 285
GMAT 1: 600 Q44 V27
Re: The median of a triangle is the line from any vertex to the midpoint o  [#permalink]

### Show Tags

27 Jun 2016, 10:53
I don't understand why can't we use the slope of AB, so 1/2 and it's negative inverse to get the perpendicular slope, so -2 ?..
Intern
Joined: 25 Sep 2017
Posts: 2
Location: Spain
GPA: 3.15
WE: Consulting (Consulting)
Re: The median of a triangle is the line from any vertex to the midpoint o  [#permalink]

### Show Tags

19 Jan 2018, 05:32
iliavko wrote:
I don't understand why can't we use the slope of AB, so 1/2 and it's negative inverse to get the perpendicular slope, so -2 ?..

I have supposed that you mean slope BC that it is 1/2. The reason why the slope of the median it is not -2, it is because BC and the median are not perpendicular, they only have to cut in the mid-point, which doesn't mean that they are perpendicular. If the would be perpendicular you would be right
Re: The median of a triangle is the line from any vertex to the midpoint o   [#permalink] 19 Jan 2018, 05:32
Display posts from previous: Sort by

# The median of a triangle is the line from any vertex to the midpoint o

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne