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Re: In the quilting pattern shown above, a small square has its vertices o
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21 May 2017, 19:17
6
pafrompa wrote:
GMAT198917 wrote:
For statement (1) why can't we assume this is a common triangle?
We know the hypotenuse is 10 and that it is a right triangle. With this information the side lengths of the large triangle should be 6 & 8.
Could someone please elaborate on this a bit? I also put choice one, because I assumed that the triangles formed in the corners were 30,60,90 triangles. Therefore, I ended up picking A because I had just assumed that you can back into x,x\sqrt{3},2x where 2x=10.
You are saying yourself that you assumed that it must be 30-60-90 triangle. Why? Do you have any reasons supporting this claim? No.
So, you assumed with no ground for it that the lengths of the sides are integers. Knowing that hypotenuse equals to 10 DOES NOT mean that the sides of the right triangle necessarily must be in the ratio of Pythagorean triple - 6:8:10. Or in other words: if \(a^2+b^2=10^2\) DOES NOT mean that \(a=6\) and \(b=8\), certainly this is one of the possibilities but definitely not the only one. In fact \(a^2+b^2=10^2\) has infinitely many solutions for \(a\) and \(b\) and only one of them is \(a=6\) and \(b=10\).
Re: In the quilting pattern shown above, a small square has its vertices o
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01 Jul 2016, 07:53
5
2
1 is clearly insufficient. 2. the ratio is given as 1:2 again insufficient. combining both using Pythagoras theorem. 10^2=x^2+(2x)^2 100= 5x^2 this should give us x followed by the length of the side of the larger square. Therefore C
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02 Jul 2016, 11:25
1
There is one unknown, that is the side of the larger square. We need something that gives us the side of the bigger square that is in either a variable form which could be determined or in a direct value form. Statement 1 does not have any relation to side of bigger square, hence insufficient. Statement 2 gives a variable relation as, if side of bigger square is 3x, then the triangles whose hypotenuse is given by Statement 1 has sides 2x and x which gives an equation to determine x (4x^2 + X^2 = 10^2). Therefore both statement are required together to arrive at a definite answer.
Re: In the quilting pattern shown above, a small square has its vertices o
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21 May 2017, 13:29
GMAT198917 wrote:
For statement (1) why can't we assume this is a common triangle?
We know the hypotenuse is 10 and that it is a right triangle. With this information the side lengths of the large triangle should be 6 & 8.
Could someone please elaborate on this a bit? I also put choice one, because I assumed that the triangles formed in the corners were 30,60,90 triangles. Therefore, I ended up picking A because I had just assumed that you can back into x,x\sqrt{3},2x where 2x=10.
Re: In the quilting pattern shown above, a small square has its vertices o
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22 May 2017, 16:15
Bunuel wrote:
pafrompa wrote:
GMAT198917 wrote:
For statement (1) why can't we assume this is a common triangle?
We know the hypotenuse is 10 and that it is a right triangle. With this information the side lengths of the large triangle should be 6 & 8.
Could someone please elaborate on this a bit? I also put choice one, because I assumed that the triangles formed in the corners were 30,60,90 triangles. Therefore, I ended up picking A because I had just assumed that you can back into x,x\sqrt{3},2x where 2x=10.
You are saying yourself that you assumed that it must be 30-60-90 triangle. Why? Do you have any reasons supporting this claim? No.
So, you assumed with no ground for it that the lengths of the sides are integers. Knowing that hypotenuse equals to 10 DOES NOT mean that the sides of the right triangle necessarily must be in the ratio of Pythagorean triple - 6:8:10. Or in other words: if \(a^2+b^2=10^2\) DOES NOT mean that \(a=6\) and \(b=8\), certainly this is one of the possibilities but definitely not the only one. In fact \(a^2+b^2=10^2\) has infinitely many solutions for \(a\) and \(b\) and only one of them is \(a=6\) and \(b=10\).
Hope it's clear.
Clear as day, thank you. I guess sometimes I force myself to try to see things that aren't there with DS. Thanks Bunuel
In the quilting pattern shown above, a small square has its vertices o
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10 Jan 2020, 01:38
dcummins wrote:
But this is the construction if we randomly split each side.
I liked the question you asked. Because I had read somewhere that the DS questions do not have the figure drawn to scale. It got me thinking about the possibilities. Then I realized that since the figure inside is a square, we should get consistent lengths of each of the sides which will not be the case if we interpret the statements in the way shown in your figure. So the only possibility is one side being x and the other one being 2x.
gmatclubot
In the quilting pattern shown above, a small square has its vertices o
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10 Jan 2020, 01:38
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78% (01:32) correct 
