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Re: ABC and PQR are both triangles. Is the area of triangle ABC [#permalink]
06 Feb 2012, 00:09

1

This post received KUDOS

Expert's post

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

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

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

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

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