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

Question

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.

gmat1220 · Answer

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

gmat1220 · Answer

Damn missed the checks ! Thanks fluke !

subhashghosh · Answer

x = 3

(1)

So 2 possible triplets

3,4,5

2,3,4

1,2,3 is not possible as 2 = 3-1

Insufficient

(2)

Insufficient

(1) + (2)

It's not a pythagorean triplet from (2)

so 2,3,4

Answer - C

amit2k9 · Answer

Concept: If a,b,c are the measurements of 3 sides of a triangle. Then measurement of b will be considering a<b<c

c-a < 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.

Spidy001 · Answer

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.

hsbinfy · Answer

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

alpham · Answer

so if it i s 2-3-4 pair, what is the area? 2*3/ 2 ?  Bunuel  can you help?

ShravyaAlladi · Answer

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(s-a)(s-b)(s-c)},
where s is the semiperimeter of the triangle; that is,
s=(a+b+c)/2

ShravyaAlladi · Answer

in this case as s=9/2
Area=sqrt(9/2*5*2*3/2*1/2)
 =3/4*sqrt(15)

roadrunner · Answer

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

lumocolor · Answer

I'm seeing answers that treat {2,3,4} & {3,4,5} as the only possibilities, but nowhere in the question does it mention that the lengths of the triangle have to be integers. Could someone clarify why then we can't consider triangles such as {2.1,3,3.5}...?

Sorry. My bad. Did not notice the word "integer" in Statement 1.

Sorry. My bad. Did not notice the word "integer" in Statement 1.

QuantMadeEasy · Answer

It is given that x=3 and perimeter is to be calculated

(1) possible triangles are 
 2,3,4 or 3,4,5 . Insufficient

(2) Triangle is not right angles. No further information. Insufficient

(1)+(2) triangle 3,4,5 is not possible. Only triangle 2,3,4 is possible. sufficient

C is correct.

chavi · Answer

can you show calculation on how we reached at 3

sayan640 · Answer

Root over (x^8) = 81
x^(8/2) = 81
x^4 = 81
x = 3
This is the way x=3 can be found.

KavyaVijay · Answer

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 How did we exclude 1,2,3 as a possibility

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards