I. c > a+b
II. c
b=10:6:2III. c² > a²+b²
A. I and III only
B. II and III only
C. I only
D. II only
E. III only
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The angles in a triangle are x, 3x, and 5x degrees. If a, b
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richachampion
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The angles in a triangle are x, 3x, and 5x degrees. If a, b and c are the lengths of the sides opposite to angles x, 3x, and 5x respectively, then which of the following must be true?
I. c > a+b
II. c
b=10:6:2
III. c² > a²+b²
A. I and III only
B. II and III only
C. I only
D. II only
E. III only
I. c > a+b
II. c
b=10:6:2III. c² > a²+b²
A. I and III only
B. II and III only
C. I only
D. II only
E. III only
Last edited by richachampion on Thu Oct 06, 2016 12:55 am, edited 1 time in total.
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richachampion
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OA: E
R I C H A,
My GMAT Journey: 470 → 720 → 740
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2. Contact me if you are not improving. (No Free Lunch!)
My GMAT Journey: 470 → 720 → 740
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THIRD-SIDE RULE:richachampion wrote:The angles in a triangle are x, 3x, and 5x degrees. If a, b and c are the lengths of the sides opposite to angles x, 3x, and 5x respectively, then which of the following must be true?
I. c > a+b
II. c
III. c² > a²+b²
A. I and III only
B. II and III only
C. I only
D. II only
E. III only
The third side of a triangle must be LESS THAN THE SUM OF THE OTHER TWO SIDES and GREATER THAN THE DIFFERENCE OF THE OTHER TWO SIDES.
I: c > a+b
Since c must be LESS THAN the sum of a and b, Statement I can never be true.
Eliminate any answer choices that include I.
Eliminate A and C.
II: c
a = 10:6:2Since c must be less than the sum of a and b, Statement II can never be true.
Eliminate any remaining answer choices that include II.
Eliminate B and D.
The correct answer is E.
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