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Triangle Problem


nafishasan

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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

 

A. Together the statements are sufficient, but alone neither statement is sufficient

B. Together the statements are not sufficient

C. Both statements are sufficient alone

D. Statement 1 alone is sufficient, but statement 2 alone is not sufficient

E. Statement 2 alone is sufficient, but statement 1 alone is not sufficient

Edited by nafishasan
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Lolz, this is a funny one ;)

 

The answer should be (A)

 

Using 1

If the 3 sides of a triangle are equal, then by SSS (side,side,side) the 2 triangles are congruent

we do not need to know much about the angles

 

Using 2

If the 3 angles have the same angle, then by AAA (angle, angle, angle) the 2 triangles are similar, but the area may be different

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