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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]

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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, 01:27, edited 1 time in total.

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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink]

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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]

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New post 05 Aug 2013, 17:56
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]

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New post 05 Aug 2013, 23:25
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]

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New post 20 Feb 2014, 06:41
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]

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New post 20 Feb 2014, 07:49
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.
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

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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: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink]

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Re: ABC and PQR are both triangles. Is the area of triangle ABC   [#permalink] 27 Jun 2016, 10:55
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