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The perimeter of a certain right triangle with the two other angles me
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11 Feb 2021, 06:06
11 Feb 2021, 06:06
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Question Stats:
50% (01:07) correct
50% (01:29) wrong based on 12 sessions
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The perimeter of a certain right triangle with the two other angles measuring 30° and 60° is \(3+\sqrt{3}\)
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The hypotenuse of the right triangle |
2 |
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.
Kudos for the right answer and explanation
Re: The perimeter of a certain right triangle with the two other angles me
[#permalink]
11 Feb 2021, 09:47
11 Feb 2021, 09:47
Hello!
This question is all about knowing the basics correctly, it uses the property of 30-60-90 and the ratio of angles in a 30-60-90 triangle is 1: Root 3:2
Consider the length of the traingle to be x
Thus, perimeter of the triangle= 1x+ root 3x+2x=3x+Root 3x, which is similar to the value provided in the question.
Hence we now know the sides of the triangle is 1, Root 3 and 2.
A: The hypotenuse of the right triangle- Length of the side opposite to 90 degree= 2
B: 2
Thus the two Quantity are equal
IMO C
This question is all about knowing the basics correctly, it uses the property of 30-60-90 and the ratio of angles in a 30-60-90 triangle is 1: Root 3:2
Consider the length of the traingle to be x
Thus, perimeter of the triangle= 1x+ root 3x+2x=3x+Root 3x, which is similar to the value provided in the question.
Hence we now know the sides of the triangle is 1, Root 3 and 2.
A: The hypotenuse of the right triangle- Length of the side opposite to 90 degree= 2
B: 2
Thus the two Quantity are equal
IMO C
gmatclubot
Re: The perimeter of a certain right triangle with the two other angles me [#permalink]
11 Feb 2021, 09:47
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