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# The perimeter of the triangle above is

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Math Expert
Joined: 02 Sep 2009
Posts: 55236
The perimeter of the triangle above is  [#permalink]

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08 Aug 2017, 10:24
00:00

Difficulty:

15% (low)

Question Stats:

100% (00:12) correct 0% (00:00) wrong based on 16 sessions

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The perimeter of the triangle above is

(A) 5√2
(B) 10
(C) 12.5
(D) 15
(E) 25

Attachment:

2017-08-08_2112_003.png [ 4.09 KiB | Viewed 474 times ]

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Re: The perimeter of the triangle above is  [#permalink]

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08 Aug 2017, 11:12
Bunuel wrote:

The perimeter of the triangle above is

(A) 5√2
(B) 10
(C) 12.5
(D) 15
(E) 25

Attachment:
2017-08-08_2112_003.png

Given $$2$$ sides of the triangle have same measure $$= 5$$

Therefore their opposite angle would also be equal.

Let the unknown angles be $$= x$$

$$x + x + 60 = 180$$

$$2x + 60 = 180$$

$$2x = 180 - 60 = 120$$

$$x = \frac{120}{2} = 60$$

Therefore the triangle is equilateral triangle, hence all the sides will be equal.

Perimeter of triangle $$= 5 + 5 + 5 = 15$$

Re: The perimeter of the triangle above is   [#permalink] 08 Aug 2017, 11:12
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