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What is the perimeter of right triangle ABC above?
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20 Sep 2018, 17:03
20 Sep 2018, 17:03
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What is the perimeter of right triangle ABC above?
(A) \(6 + 4\sqrt{3}\)
(B) \(6 + 6\sqrt{3}\)
(C) \(6 + 8\sqrt{3}\)
(D) \(9 + 6\sqrt{3}\)
(E) \(18 + 6\sqrt{3}\)
Re: What is the perimeter of right triangle ABC above?
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25 Sep 2018, 20:10
25 Sep 2018, 20:10
1
the given triangle is in 30-60-90 format
side opposite 60 degree has length 6.
In a 30-60-90 triangle sides are in the ratio \(x,x\sqrt{3},2x\)
therefore, \(x\sqrt{3}=6\)
solving for x we get \(x=\frac{6}{\sqrt{3}}=2\sqrt{3}\)
the third side is \(4\sqrt{3}\)
Perimeter = \(6+4\sqrt{3}+2\sqrt{3} = 6+6\sqrt{3}\)
side opposite 60 degree has length 6.
In a 30-60-90 triangle sides are in the ratio \(x,x\sqrt{3},2x\)
therefore, \(x\sqrt{3}=6\)
solving for x we get \(x=\frac{6}{\sqrt{3}}=2\sqrt{3}\)
the third side is \(4\sqrt{3}\)
Perimeter = \(6+4\sqrt{3}+2\sqrt{3} = 6+6\sqrt{3}\)
Re: What is the perimeter of right triangle ABC above?
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11 Sep 2021, 07:37
11 Sep 2021, 07:37
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
