Last visit was: 12 Jul 2024, 16:19 It is currently 12 Jul 2024, 16:19

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

avatar
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 285
Own Kudos [?]: 633 [6]
Given Kudos: 225
avatar
Intern
Intern
Joined: 01 Sep 2017
Posts: 20
Own Kudos [?]: 31 [0]
Given Kudos: 0
Send PM
avatar
Manager
Manager
Joined: 03 Dec 2017
Posts: 64
Own Kudos [?]: 23 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 01 Sep 2017
Posts: 20
Own Kudos [?]: 31 [0]
Given Kudos: 0
Send PM
Re: Isosceles right triangle ABC and Square EFGH have the same a [#permalink]
2
wongpcla wrote:
simon1994 wrote:
Here we can set up the following equation with both Areas:

1) Triangle: (a^2)/2 = A
2) Sqaure: b^2 = A

A stands for Area, a for side of triangle and b for side of square.

If we solve these equations for the sides a and b respectively, we obtain the following

1) a^2 = 2A
2) b^2 = A

Now we can set up perimeter equations with the comparable variable A

1) 2A * 3 => 6A
2) A*4 => 4A

Hence the perimeter of the triangle(6A) is bigger than that of the square(4A) Therefore A>B


Would you explain why you put "2A * 3" and "A*4"
you times their area, this is also okay to compare their sides?

thank you !


Hi,

I changed by previous answer their was a slight mistake. However the reasoning remains the same.

Regarding your question: We need to obtain compare the Perimeter of a triangle with the perimeter of a square.

So we we have to multiply by 3 to obtain the perimeter of a triangle and by 4 to obtain the perimeter of a square.

Hope that helped!
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4659
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
Re: Isosceles right triangle ABC and Square EFGH have the same a [#permalink]
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.
Prep Club for GRE Bot
[#permalink]
Moderators:
GRE Instructor
46 posts
GRE Forum Moderator
17 posts
Moderator
1090 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne