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Triangle ABC is an isosceles triangle
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22 Jan 2023, 05:18
22 Jan 2023, 05:18
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99% (00:48) correct
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Triangle ABC is an isosceles triangle with side lengths of 4 and 6.
Triangle LMN is an isosceles triangle with side lengths of 6 and 4.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Triangle LMN is an isosceles triangle with side lengths of 6 and 4.
Quantity A |
Quantity B |
The area of triangle ABC |
The area of triangle LMN |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: Triangle ABC is an isosceles triangle
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22 Jan 2023, 05:19
22 Jan 2023, 05:19
1
This problem requires a bit of awareness to answer correctly. The trick is that, since we don’t know the length of the third side of either triangle, we cannot accurately solve for the area of either triangle!
One possibility is that both triangles have two sides with a length of 4, the third side has a length 6, and, therefore, the areas are equal.
Another possibility is that one triangle has two sides with a length 4 and the third side with a length of 6, while the other triangle has two sides with a length of 6 and one side with a length of 4. In this case, the 6-6-4 triangle would have a greater area.
Since we are not given any angle measures or other clues, we have no way of knowing.
The correct answer is D.
One possibility is that both triangles have two sides with a length of 4, the third side has a length 6, and, therefore, the areas are equal.
Another possibility is that one triangle has two sides with a length 4 and the third side with a length of 6, while the other triangle has two sides with a length of 6 and one side with a length of 4. In this case, the 6-6-4 triangle would have a greater area.
Since we are not given any angle measures or other clues, we have no way of knowing.
The correct answer is D.
gmatclubot
Re: Triangle ABC is an isosceles triangle [#permalink]
22 Jan 2023, 05:19
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