GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
What is the perimeter of right triangle ABC above?
[#permalink]
20 Sep 2018, 17:03
20 Sep 2018, 17:03
Expert Reply
1
Bookmarks
00:00
Question Stats:
69% (01:25) correct
30% (01:27) wrong based on 39 sessions
Hide Show timer Statistics
Attachment:
Capture.JPG [ 17.46 KiB | Viewed 4615 times ]
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?
[#permalink]
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?
[#permalink]
11 Sep 2021, 07:37
11 Sep 2021, 07:37
Hello from the GRE Prep Club BumpBot!
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.
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.
