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A, B, C and D are points on a line, with D the midpoint of segment BC.
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12 Jul 2017, 23:41
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81% (01:59) correct 19% (03:02) wrong based on 41 sessions
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A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD? (A) 2 (B) 4 (C) 6 (D) 10 (E) 12
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Re: A, B, C and D are points on a line, with D the midpoint of segment BC.
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13 Jul 2017, 01:05
Bunuel wrote: A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?
(A) 2 (B) 4 (C) 6 (D) 10 (E) 12 To solve this problem we will have to keep thinking about the points on the line while reading the question.. So lets start with point D. Since D is midpoint of BC B............D............C Also BC = 12 B......6......D......6......C Now, AC = 2. A can be either left of C or right of C If A is left of C , AB = 122 = 10 (Correct) If A is right of C AB = 12 +2 = 14 (Incorrect) So the points placing is as below B......6......D....4....A..2..C Length of segment AD = 4 Answer B
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Re: A, B, C and D are points on a line, with D the midpoint of segment BC.
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13 Jul 2017, 01:09
Bunuel wrote: A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?
(A) 2 (B) 4 (C) 6 (D) 10 (E) 12 Given Information C.....A........................D.................................B <6> <2> Hence AD is 4 B
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A, B, C and D are points on a line, with D the midpoint of segment BC.
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13 Jul 2017, 10:18
Bunuel wrote: A, B, C and D are points on a line, with D the midpoint of segment BC. The lengths of segments AB, AC and BC are 10, 2, 12, respectively. What is the length of segment AD?
(A) 2 (B) 4 (C) 6 (D) 10 (E) 12 Try to find endpoints first. D cannot be one; it's a midpoint. Consider that BC at 12 has the greatest length. AC and AB sum to BC. Therefore, like D, A is between B and C. They must be the endpoints, with D halfway between, at D = 6. Start with B, C , and D. We have either B_______ 6________ D______ 6_______ C > OR C_______ 6________ D______ 6_______ BNow there's A, whose placement will yield which order above is correct. AC(CA) = 2. AB = 10. A is much closer to C, and CA + AB = CB(BC), which is 2 + 10 = 12. Correct. Order and values must be C_______A___________D_________________B 0_______2___________6_________________12 D=6, A=2. AD = 4. Answer B
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Re: A, B, C and D are points on a line, with D the midpoint of segment BC.
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15 Jul 2017, 01:18
Since the longest length of the given line is 12 then the end points are B and C also since D is the midpoint of the line BD=DC , DC= DA+AC DC=6 , AC =2 and so AD= 62=4
Am i correct in my explanation?? Thank you




Re: A, B, C and D are points on a line, with D the midpoint of segment BC.
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15 Jul 2017, 01:18






