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# A, B, C, and D are points on a line, and D is the midpoint of line seg

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
A, B, C, and D are points on a line, and D is the midpoint of line seg  [#permalink]

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04 Oct 2018, 02:03
00:00

Difficulty:

25% (medium)

Question Stats:

88% (01:40) correct 13% (01:58) wrong based on 28 sessions

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A, B, C, and D are points on a line, and D is the midpoint of line segment BC. If the lengths of line segments AB, AC, and BC are 20, 6, and 14, respectively, what is the length of line segment AD?

(A) 8
(B) 10
(C) 12
(D) 13
(E) 16

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Intern
Joined: 10 Apr 2018
Posts: 6
A, B, C, and D are points on a line, and D is the midpoint of line seg  [#permalink]

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04 Oct 2018, 02:40
1
First I put the information given in correct order.

It´s A C D B

Then I drew the lines on a piece of paper.

A--------------------------------B 20
A---------6 C---------D(7)--------B 14
A--------------------D 6+7= 13

So in my opinion it should be 13.

But I don´t know if there is a faster way to do it.
A, B, C, and D are points on a line, and D is the midpoint of line seg   [#permalink] 04 Oct 2018, 02:40
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# A, B, C, and D are points on a line, and D is the midpoint of line seg

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