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ABC and PQR are both triangles. Is the area of triangle ABC

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ABC and PQR are both triangles. Is the area of triangle ABC [#permalink] New post 05 Feb 2012, 22:37
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ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?



(1) Sides AB=PQ, BC=QR, and AC=PR
(
2) Angles A=P, B=Q, and C=R
[Reveal] Spoiler: OA

Last edited by nafishasan60 on 06 Feb 2012, 00:27, edited 1 time in total.
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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink] New post 06 Feb 2012, 00:09
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ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?



(1) Sides AB=PQ, BC=QR, and AC=PR --> if three pairs of sides of two triangles are equal in length, then the triangles are congruent, they have the same shape and size. (Side-Side-Side case). So the area of triangle ABC is equal to that of the area of triangle PQR. Sufficient.

(
2) Angles A=P, B=Q, and C=R --> triangle ABC and triangle PQR are similar, but we need to know the lengths of the sides to answer the question. Not sufficient.

Answer: A.

For more or congruent and similar triangles check Triangles chapter of Math Book: math-triangles-87197.html

Hope it helps.
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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink] New post 05 Aug 2013, 16:56
from 1
ABC is congruent to PQR.
areas equal.
sufficient to tell that area of ABC is NOT greater than PQR

from 2
ABC is similar to PQR.
area of ABC may be <, > or = to PQR.
does not answer answer the question.

hence A.
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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink] New post 05 Aug 2013, 22:25
nafishasan60 wrote:
ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?



(1) Sides AB=PQ, BC=QR, and AC=PR
(
2) Angles A=P, B=Q, and C=R


st(1), three sides are equal, so the base and height of the two triangles are same, consequently the areas are same.
Answer no not greater/
st(2), triangles are similar, nothing we can be sure about the length of the triangles. so not sufficient.
Answer (A)
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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink] New post 20 Feb 2014, 05:41
Bunuel wrote:
ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?



(1) Sides AB=PQ, BC=QR, and AC=PR --> if three pairs of sides of two triangles are equal in length, then the triangles are congruent, they have the same shape and size. (Side-Side-Side case). So the area of triangle ABC is equal to that of the area of triangle PQR. Sufficient.

(
2) Angles A=P, B=Q, and C=R --> triangle ABC and triangle PQR are similar, but we need to know the lengths of the sides to answer the question. Not sufficient.

Answer: A.

For more or congruent and similar triangles check Triangles chapter of Math Book: math-triangles-87197.html

Hope it helps.


They caught me on this one. Doesn't 1 depend on the way the sides are positioned?

Thanks
Cheers
J
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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink] New post 20 Feb 2014, 06:49
Expert's post
jlgdr wrote:
Bunuel wrote:
ABC and PQR are both triangles. Is the area of triangle ABC greater than the area of triangle PQR?



(1) Sides AB=PQ, BC=QR, and AC=PR --> if three pairs of sides of two triangles are equal in length, then the triangles are congruent, they have the same shape and size. (Side-Side-Side case). So the area of triangle ABC is equal to that of the area of triangle PQR. Sufficient.

(
2) Angles A=P, B=Q, and C=R --> triangle ABC and triangle PQR are similar, but we need to know the lengths of the sides to answer the question. Not sufficient.

Answer: A.

For more or congruent and similar triangles check Triangles chapter of Math Book: math-triangles-87197.html

Hope it helps.


They caught me on this one. Doesn't 1 depend on the way the sides are positioned?

Thanks
Cheers
J


Actually, no. Any two triangles with three equal sides are basically the same, congruent.
_________________

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.


What are GMAT Club Tests?
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Re: ABC and PQR are both triangles. Is the area of triangle ABC   [#permalink] 20 Feb 2014, 06:49
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ABC and PQR are both triangles. Is the area of triangle ABC

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