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Updated on: 06 Feb 2012, 01:27
Originally posted by nafishasan60 on 05 Feb 2012, 23:37.
Last edited by nafishasan60 on 06 Feb 2012, 01:27, edited 1 time in total.
Last edited by nafishasan60 on 06 Feb 2012, 01:27, edited 1 time in total.
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A
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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
(1) Sides AB=PQ, BC=QR, and AC=PR
( 2) Angles A=P, B=Q, and C=R
06 Feb 2012, 01:09
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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.
(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.
05 Aug 2013, 17:56
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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.
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.
