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Which of the following could not be the lengths of the sides of a righ

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Which of the following could not be the lengths of the sides of a righ  [#permalink]

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New post 14 May 2016, 03:51
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A
B
C
D
E

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  5% (low)

Question Stats:

85% (00:44) correct 15% (00:57) wrong based on 152 sessions

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Re: Which of the following could not be the lengths of the sides of a righ  [#permalink]

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New post 14 May 2016, 06:42
1
D. 12,15,18

Except this all are Pythagorean triplet or their multiples

3,4,5
5,12,13
8,15,17
9,12,15 : 3x3,3x4,3x5 (3,4,5 is a triplet)
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Re: Which of the following could not be the lengths of the sides of a righ  [#permalink]

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New post 14 May 2016, 07:29
Bunuel wrote:
Which of the following could not be the lengths of the sides of a right angled triangle?

A. 3, 4, 5
B. 5, 12, 13
C. 8, 15, 17
D. 12, 15, 18
E. 9, 12, 15


A. \(5^2\) = \(3^2\) + \(4^2\)

B. \(13^2\) = \(12^2\) + \(5^2\)

C. \(17^2\) = \(15^2\) + \(8^2\)

D. \(18^2\) \(not\) = \(12^2\) + \(15^2\)

E. \(15^2\) = \(12^2\) + \(9^2\)

Hence answer will be (D)
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Re: Which of the following could not be the lengths of the sides of a righ  [#permalink]

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New post 18 Sep 2016, 03:52
option A, B , C and E satisfy the pythagoras theorem which is \(one side^2\) + \(another side ^2\) = \(hypotenuse^2\)
option D doesn't satisfy this theorem
correct answer - D
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Re: Which of the following could not be the lengths of the sides of a righ  [#permalink]

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New post 15 Sep 2018, 06:41
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following could not be the lengths of the sides of a righ   [#permalink] 15 Sep 2018, 06:41
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