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The perimeter of a certain right triangle with the two other angles me

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The perimeter of a certain right triangle with the two other angles me [#permalink] New post   11 Feb 2021, 06:06
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The perimeter of a certain right triangle with the two other angles measuring 30° and 60° is \(3+\sqrt{3}\)


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.

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C
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Re: The perimeter of a certain right triangle with the two other angles me [#permalink] New post   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
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Re: The perimeter of a certain right triangle with the two other angles me [#permalink]
11 Feb 2021, 09:47
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