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# In the y-coordinate plane, triangle RST is equilateral. Poin

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In the y-coordinate plane, triangle RST is equilateral. Poin [#permalink]  15 Feb 2017, 08:38
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Question Stats:

67% (00:47) correct 32% (01:10) wrong based on 52 sessions

In the y-coordinate plane, triangle RST is equilateral. Points R and T have coordinates (0, 2) and (1, 0), respectively.

 Quantity A Quantity B The perimeter of triangle RST $$3\sqrt{5}$$

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.
[Reveal] Spoiler: OA

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Re: In the y-coordinate plane, triangle RST is equilateral. Poin [#permalink]  21 Feb 2017, 16:50
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Explanation

Now R and T are clearly two points on a triangle. So the distance between points R and points T is length of a side of the equilateral triangle

Distance between R (0, 2) and T (1, 0) = $$\sqrt{(0-1)^2 + (2 - 0)^2} = \sqrt{5}$$.

Now since RST is an equilateral triangle its Perimeter = 3 $$\times$$ Side of triangle = $$3 \times \sqrt{5}$$

Hence quantity A and B are equal. Thus Option C is correct.
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Re: In the y-coordinate plane, triangle RST is equilateral. Poin   [#permalink] 21 Feb 2017, 16:50
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