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# The perimeter of which of the above triangles can be determined from

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Math Expert
Joined: 02 Sep 2009
Posts: 46284
The perimeter of which of the above triangles can be determined from [#permalink]

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08 Aug 2017, 10:30
00:00

Difficulty:

35% (medium)

Question Stats:

58% (00:41) correct 42% (00:46) wrong based on 20 sessions

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The perimeter of which of the above triangles can be determined from the information given?

(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II and III

Attachment:

2017-08-08_2125_001.png [ 12.75 KiB | Viewed 484 times ]

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Re: The perimeter of which of the above triangles can be determined from [#permalink]

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08 Aug 2017, 11:37

When one side has been given,
In an equilateral triangle where angles are equal, sides are also equal.
Hence, perimeter = 3*5 = 15

Though the right angled triangle seems like we can get the perimeter,
since the hypotenuse is 5, it could be a Pythagorean triplet(3,4,5) where the perimeter will be 12.
However, the sides of the triangle can also be $$\sqrt{5}$$ and $$[fraction]20[/fraction]$$
The perimeter of that triangle is $$5 + 3\sqrt{5}$$. We cannot get an unique perimeter.

Hence, Option B(II only) is the answer option
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Re: The perimeter of which of the above triangles can be determined from   [#permalink] 08 Aug 2017, 11:37
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