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Is this a rt triangle

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Is this a rt triangle [#permalink] New post 20 Jul 2010, 07:26
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A
B
C
D
E

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60% (02:34) correct 40% (01:10) wrong based on 5 sessions
Is this a rt triangle

1. The sides are in the ratio 3:4:5
2. The angles are int he ratio 3:4:5

Answer: D

pls explain: I need to know if the sides are in the ratio 3:4:5 is that triangle always a rt triangle -even though I do not know the angles?
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Re: Right Angled triangle [#permalink] New post 20 Jul 2010, 07:52
Yes, if the sides are in the ratio 3:4:5 the triangle must be a pythagorean triplet right triangle. The sides will be some multiple of that ratio such as 6, 8 and 10 etc.

This can be easily proved by observing that if the sides are 3x, 4x and 5x => (3x)^2 + (4x)^2 = 9x^2 + 16x^2 = 25x^2 = (5x)^2... which is simply a verification of the pythagorean theorem - this is sufficient to figure out that the triangle is right-angled.

This is why statement 1 is sufficient.

Statement 2 is easier: The sum of the angles must be 180

=> 3x + 4x + 5x = 180 => 12x = 180 => x = 15

Thus the angles are 45, 60 and 75... which means the angle is NOT right-angled.

This is unusual for the GMAT that the two statements contradict eachother. However, this is still fair-game as the GMAC doesn't officially dismiss this possibility.

Pick D.
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Re: Right Angled triangle [#permalink] New post 20 Jul 2010, 10:39
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AbhayPrasanna wrote:
This is unusual for the GMAT that the two statements contradict eachother. However, this is still fair-game as the GMAC doesn't officially dismiss this possibility.

Pick D.


For (1) we've got that the triangle is right and for (2) we've got that triangle is not right, so statements contradict each other.

This will never occur on GMAT as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.
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Re: Right Angled triangle [#permalink] New post 07 Aug 2010, 09:24
Bunuel wrote:
AbhayPrasanna wrote:
This is unusual for the GMAT that the two statements contradict eachother. However, this is still fair-game as the GMAC doesn't officially dismiss this possibility.

Pick D.


For (1) we've got that the triangle is right and for (2) we've got that triangle is not right, so statements contradict each other.

This will never occur on GMAT as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.


Bunuel
I need some clarification on this point. Clearly by (1) we know that it is a rt triangle. From (2) we know it is not. So why is it a problem to say - D. Each can independently answer the question? Why can't they contradict each other?
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Re: Right Angled triangle [#permalink] New post 07 Aug 2010, 09:37
Expert's post
mainhoon wrote:
Bunuel wrote:
AbhayPrasanna wrote:
This is unusual for the GMAT that the two statements contradict eachother. However, this is still fair-game as the GMAC doesn't officially dismiss this possibility.

Pick D.


For (1) we've got that the triangle is right and for (2) we've got that triangle is not right, so statements contradict each other.

This will never occur on GMAT as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.


Bunuel
I need some clarification on this point. Clearly by (1) we know that it is a rt triangle. From (2) we know it is not. So why is it a problem to say - D. Each can independently answer the question? Why can't they contradict each other?


Because:
On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.

This is the rule of GMAT.

In original question statements contradict each other and this violates the above rule. That's why this is not a good question.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Right Angled triangle [#permalink] New post 20 Aug 2010, 20:34
I was confused at first, because I didn't remember the ratios of the angles to be the same as the ratio of sides, so I thought I was missing something.

On the plus side, if you saw this on the GMAT, I would guess it's more likely than not an experimental question that slipped though, and I would do minimal work on it.
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Re: Right Angled triangle   [#permalink] 20 Aug 2010, 20:34
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