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Perimeter of triangle ABC
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23 Sep 2018, 06:56
23 Sep 2018, 06:56
Expert Reply
00:00
Question Stats:
92% (00:30) correct
7% (00:21) wrong based on 70 sessions
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Quantity A |
Quantity B |
Perimeter of triangle ABC |
Perimeter of triangle DEF |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Perimeter of triangle ABC
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01 Apr 2020, 05:00
01 Apr 2020, 05:00
sandy wrote:
Attachment:
Capture.JPG
Quantity A |
Quantity B |
Perimeter of triangle ABC |
Perimeter of triangle DEF |
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.
Triangle on the left
Since angles in a triangle add to 180°, we can see that the missing angle (x) in the triangle is 60°, which makes it an equilateral triangle
In an equilateral triangle, all sides have the same length
So the perimeter of the triangle = 9 + 9 + 9 = 27
Triangle on the right
As for the right triangle, we COULD apply the Pythagorean theorem to find the length of the hypotenuse (side EF)
Alternatively, we might also recognize that 5 and 12 are part of the Pythagorean triplet 5-12-13, so side EF must have length 13
So the perimeter of this triangle = 5 + 12 + 13 = 30
We get:
Quantity A: 27
Quantity B: 30
Answer: B
Cheers,
Brent
gmatclubot
Re: Perimeter of triangle ABC [#permalink]
01 Apr 2020, 05:00
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