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nafishasan60
  ABC and PQR are both triangles. Is the area of triangle ABC [#permalink]
New postPosted: Sun Feb 05, 2012 11:37 pm 
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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
A


Last edited by nafishasan60 on Mon Feb 06, 2012 1:27 am, edited 1 time in total.

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Bunuel
  Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink]
New postPosted: Mon Feb 06, 2012 1:09 am 
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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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