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Right triangle PRS has sides of length 6, 8, and x
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04 Jan 2023, 09:19
04 Jan 2023, 09:19
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Question Stats:
57% (00:31) correct
42% (00:27) wrong based on 19 sessions
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Right triangle PRS has sides of length 6, 8, and x
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x |
10 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Right triangle PRS has sides of length 6, 8, and x
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30 Jan 2023, 05:26
30 Jan 2023, 05:26
Expert Reply
OE
The trap in this problem is the common (but faulty) assumption that 6 and 8 are the lengths of the two perpendicular sides of a right triangle, because 6 -8-10 triangles are common on the GRE. If that were the case, the Pythagorean theorem or the 3-4-5 triangle rule could be used to determine that the length x of the hypotenuse equals 6^2+8^2=10^2
However, it is also possible that the side with length 8 is the hypotenuse of the triangle. In that case 6^2+x^2=8^2
D si the answer
The trap in this problem is the common (but faulty) assumption that 6 and 8 are the lengths of the two perpendicular sides of a right triangle, because 6 -8-10 triangles are common on the GRE. If that were the case, the Pythagorean theorem or the 3-4-5 triangle rule could be used to determine that the length x of the hypotenuse equals 6^2+8^2=10^2
However, it is also possible that the side with length 8 is the hypotenuse of the triangle. In that case 6^2+x^2=8^2
D si the answer
gmatclubot
Re: Right triangle PRS has sides of length 6, 8, and x [#permalink]
30 Jan 2023, 05:26
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