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# M70-36

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Math Expert
Joined: 02 Sep 2009
Posts: 56277

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04 Sep 2018, 02:33
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Difficulty:

25% (medium)

Question Stats:

88% (01:51) correct 13% (01:37) wrong based on 8 sessions

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The sides of a certain triangle are of different lengths. Is the length of side AB greater than each of the other sides?

(1) The length of side AB is smaller than the combined lengths of sides AC and BC.

(2) The length of side AB squared is equal to the combined squares of the two other sides.

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Math Expert
Joined: 02 Sep 2009
Posts: 56277

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04 Sep 2018, 02:34
Official Solution:

We’ll go for LOGICAL because the statements relate to common triangle rules.

We’ll examine the information given in the statements, using what we know about triangles: (1) is true for any side of any triangle – no new information (meaning, that’s not enough). (A) and (D) are eliminated. (2) is the Pythagorean Theorem – meaning, AB is the hypotenuse, which is the longest side. That’s exactly what we were looking for. (C) and (E) are eliminated.

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Intern
Joined: 15 Jan 2019
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17 Jan 2019, 03:45
Hi,

I thought that Pythagoras was only true for any RIGHT triangle and the question does not explicitly say that the triangle is RIGHT and so I picked E. Am I misreading the question?

Thanks
Re: M70-36   [#permalink] 17 Jan 2019, 03:45
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# M70-36

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