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# If the length of side AB is 17, is triangle ABC a right

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Manager
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If the length of side AB is 17, is triangle ABC a right [#permalink]  13 Oct 2009, 05:39
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75% (01:37) correct 25% (01:38) wrong based on 11 sessions
If the length of side AB is 17, is triangle ABC a right triangle?

(1) The length of side BC is 144.

(2) The length of side AC is 145.
Manager
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 09:00
I don't see other possibility...

C should be correct... but would it be a GMAT question? i mean... calculating 144², 145² takes time...
generally GMAT does not like spending too much time making calculations...
Senior Manager
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 09:12

I see that 17-square + 144-square = 145

so knowing that BC is 144 is sufficient

also knowing that 145 is sufficient by itself
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Manager
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 09:16
pierrealexandre77 wrote:
I don't see other possibility...

C should be correct... but would it be a GMAT question? i mean... calculating 144², 145² takes time...
generally GMAT does not like spending too much time making calculations...

you may be correct than GMAT wont ask questions involving such numbers but then
" HOPE FOR THE BEST,PREPARE FOR THE WORST"

Also 145^2 will be equal to 144^2 + (144*2 +1)----this is same as 144^2 plus 17^2
Manager
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 09:21
srini123 wrote:

I see that 17-square + 144-square = 145

so knowing that BC is 144 is sufficient

also knowing that 145 is sufficient by itself

but option 1 or 2 do not tell anything about the other side...the 3rd side of triangle... we can consider the 3rd (unknown side) as the one with maximum length e.g. 147 then also it will hold true by logic that sum of 2 sides should be more than the longest side....

where am I goofing on this
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 09:27
astermatrix must be right, it has to be C.

we need to know both the other sides
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 10:49
srini123 wrote:
astermatrix must be right, it has to be C.

we need to know both the other sides

OA is C
With all 3 sides you could see if a^2 + b^2 = c^2

As per above discussion, I agree it would be impossible in the 2 minutes provided to determine if this is a right triangle. However since this is a yes/no DS question we don't need to find an answer. Can we find an answer yes? Is this actually a right triangle? Who cares!

For those interested however... it is a right triangle.
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Re: Tuesday Q3 - Right Triangle [#permalink]  13 Oct 2009, 11:09
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As asterixmatrix pointed out, this doesnt involve a whole lot of crazy calculation if you notice that 145^2 - 144^2 = (145-144)*(145+144) = 1*289 = 17^2.

You still need both those values to know whether it is a right triangle so answer should be [C].
Re: Tuesday Q3 - Right Triangle   [#permalink] 13 Oct 2009, 11:09
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