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

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
Which of the following could not be the lengths of the sides of a righ  [#permalink]

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14 May 2016, 02:51
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Difficulty:

5% (low)

Question Stats:

87% (00:44) correct 13% (00:47) wrong based on 134 sessions

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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

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Intern
Joined: 02 Mar 2015
Posts: 2
Re: Which of the following could not be the lengths of the sides of a righ  [#permalink]

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14 May 2016, 05:42
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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14 May 2016, 06:29
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. $$15^2$$ = $$12^2$$ + $$9^2$$

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Director
Joined: 24 Nov 2015
Posts: 522
Location: United States (LA)
Re: Which of the following could not be the lengths of the sides of a righ  [#permalink]

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18 Sep 2016, 02:52
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
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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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15 Sep 2018, 05:41
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 &nbs [#permalink] 15 Sep 2018, 05:41
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