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fitzpratik
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25 Feb 2019, 08:44
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
54% (01:10) correct
46%
(01:13)
wrong
based on 50
sessions
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If three sides of a triangle measure a, b, c, is triangle ABC a right angle triangle?
1. \(a^2\) + \(b^2\) < 25
2. c>5
1. \(a^2\) + \(b^2\) < 25
2. c>5
alldaytestprep
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GMAT 1: 770 Q51 V49
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Expert reply
25 Feb 2019, 12:28
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fitzpratik
This question is one where you can almost go straight to looking at the statements together. A right triangle is one where the three sides can be related to each other by the equation (side1)^2 + (side2)^2 = (hypotenuse)^2. Therefore, we need to know something about all 3 sides.
Statement 1) Tells nothing about c----> insufficient
Statement 2) Tells nothing about a&b ---> insufficient
1&2 Together)
- If a^2 + b^2 is less than 25 than each of a^2 and b^2 must also be less than 25. Therefore, a < 5 and b < 5.
- If c > 5 then we know it is longer than a & b. Therefore, if we wanted to try and make a right triangle out of these sides c would have to be the hypotenuse and c^2 is greater than 25
- Try to come up with examples where a^2 + b^2 = c^2
- From what we know from before --->a^2 + b^2 = c^2-----> is same as saying -----> Some Number Less Than 25 = Some Number Greater Than 25.
This is not possible therefore it is SUFFICIENT to say this is NOT a right triangle
Answer: C
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