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triangle A has one side of lenght x. if x^4=81 what is the
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08 May 2011, 05:39
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53% (01:18) correct 47% (01:25) wrong based on 342 sessions
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triangle A has one side of lenght x. if x^4=81 what is the perimeter of triangle A? 1.Triangle A has sides whose lengths are consecutive integers 2.Triangle A is not a right triangle. What i want to know is what exactly does it mean to say Triangle A is not a Rt triangle in context to question above,It is not making sense to me.
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Re: triangles!
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08 May 2011, 06:04
The answer is E. S1 says that the sides are consecutive integers and one of the side is 4. There can be three possibilities 3,4,5 2,3,4 1,2,3 Clearly insufficient S2 says that triangle A is not a right angle. I still have two cases i.e. 2,3,4 and 1,2,3. Clearly insufficient Combining 1) and 2) two cases are left. Answer E PS : I think the question is not making any sense. It something like  the values of a,b,c are given and suddenly the question is asking x+y+z AnkitK wrote: triangle A has one side of lenght x. if x^4=81 what is the perimeter of triangle A? 1.Triangle A has sides whose lengths are consecutive integers 2.Triangle A is not a right triangle.
What i want to know is what exactly does it mean to say Triangle A is not a Rt triangle in context to question above,It is not making sense to me.



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Re: triangles!
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08 May 2011, 06:30
Damn missed the checks ! Thanks fluke ! fluke wrote: gmat1220 wrote: The answer is E. S1 says that the sides are consecutive integers and one of the side is 4. There can be three possibilities 3,4,5 (It is a pythagorean triplet and must be a right angle triangle)2,3,4 (It is a NOT pythagorean triplet 2^2+3^2 != 4^2 and must NOT be a right angle triangle)1,2,3(Not possible because sum of two sides is equal to the third) Clearly insufficient S2 says that triangle A is not a right angle. I still have two cases i.e. 2,3,4 and 1,2,3. Clearly insufficient Combining 1) and 2) two cases are left (Just one case: 2,3,4). Answer E (C)PS : I think the question is not making any sense. It something like  the values of a,b,c are given and suddenly the question is asking x+y+z AnkitK wrote: triangle A has one side of lenght x. if x^4=81 what is the perimeter of triangle A? 1.Triangle A has sides whose lengths are consecutive integers 2.Triangle A is not a right triangle.
What i want to know is what exactly does it mean to say Triangle A is not a Rt triangle in context to question above,It is not making sense to me.



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Re: triangles!
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08 May 2011, 06:44
x = 3 (1) So 2 possible triplets 3,4,5 2,3,4 1,2,3 is not possible as 2 = 31 Insufficient (2) Insufficient (1) + (2) It's not a pythagorean triplet from (2) so 2,3,4 Answer  C
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Re: triangles!
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08 May 2011, 08:42
Concept: If a,b,c are the measurements of 3 sides of a triangle. Then measurement of b will be considering a<b<c
ca < b < c+b .
Since x = 3
a gives 2,3,4 and 3,4,5. Not sufficient.
b still the sides can be 3,5,7 or 2,3,4 etc. Not sufficient.
a+b means 3,4,5 is not the measurements.It is 2,3,4.
Hence C.



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Re: triangles!
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08 May 2011, 17:18
1. Not sufficient
as the sides could be anyone of this combination 3,4,5 or 2,3,4
2. Not sufficient not a right angled triangle
together we can eliminate the 2,3,4
Sufficient
Answer is C.



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Re: triangle A has one side of lenght x. if x^4=81 what is the
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18 Jul 2016, 00:33
C
x=3(given) 1) three possibilities: 1,2,3(this is not a possible triangle as 1+2=3 not >3) 2,3,4 3,4,5(right angled)
2)not a right angled.insuff ok its not right angled..but we ddont know other 2 sides
1+2
only one case 2,3,4
so ans is C



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Re: triangle A has one side of lenght x. if x^4=81 what is the
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17 Aug 2016, 08:46
so if it i s 234 pair, what is the area? 2*3/ 2 ? Bunuel can you help?



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Re: triangle A has one side of lenght x. if x^4=81 what is the
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17 Aug 2016, 09:42
alpham wrote: so if it i s 234 pair, what is the area? 2*3/ 2 ? Bunuel can you help? It is not a right angled triangle so we cannot use it directly Instead when three sides of a triangle are known the area of a triangle whose sides have lengths a, b, and c is the area pf a trainagle A = sqrt{s(sa)(sb)(sc)}, where s is the semiperimeter of the triangle; that is, s=(a+b+c)/2



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Re: triangle A has one side of lenght x. if x^4=81 what is the
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17 Aug 2016, 09:44
in this case as s=9/2 Area=sqrt(9/2*5*2*3/2*1/2) =3/4*sqrt(15)



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Re: triangle A has one side of lenght x. if x^4=81 what is the
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05 Jan 2017, 01:44
AnkitK wrote: triangle A has one side of lenght x. if x^4=81 what is the perimeter of triangle A? 1.Triangle A has sides whose lengths are consecutive integers 2.Triangle A is not a right triangle.
What i want to know is what exactly does it mean to say Triangle A is not a Rt triangle in context to question above,It is not making sense to me. \(x^4\) = 81 > x=3 stmt 1  two possibilities {2,3,4} or {3,4,5} > Insuff. stmt 2  Many possibilities > Insuff 1 &2 only {2,3,4} possible > Suff > Ans is C



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Re: triangle A has one side of lenght x. if x^4=81 what is the
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Re: triangle A has one side of lenght x. if x^4=81 what is the
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