NEW HERE? LEARN MORE
closeclose
It is currently 19 Apr 2024, 15:23
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT 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 GMAT 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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Are all right triangles inside a circle, have diameter of circle?

5 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
avatar
cwlvc
Intern
Intern
Joined: 23 Apr 2019
Posts: 1
Are all right triangles inside a circle, have diameter of circle? [#permalink] New post  26 Sep 2019, 10:37
i know if the triangle has 1 side as a circle's diameter, and a 90 degrees, then i can use thale's theorem. but i'm wondering if the opposite also work

if i know a triangle inside a circle is 90%, does that mean 1 of it's sides is the diameter?

also wondering, if a triangle has it's sides ratio as 3,4,5, or 5,12,13, does that mean the triangle is 90 degrees?
User avatar
D
Kurtosis
Current Student
Joined: 13 Apr 2015
Posts: 1437
Location: India
GMAT ToolKit User Reviews Badge
Are all right triangles inside a circle, have diameter of circle? [#permalink] New post  26 Sep 2019, 10:48
1
Kudos
Yes. One of the sides will be the diameter if all the points lie on the circumference of the circle.

Yes. 3x:4x:5x or 5x:12x:13x triangles are Pythagorean triplets and are right triangles.

Posted from my mobile device
User avatar
L
MahmoudFawzy
Director
Director
Joined: 27 Oct 2018
Status:Manager
Posts: 683
Location: Egypt
Concentration: Strategy, International Business
Schools: NTU '20 HKUST '21 Japan MBA
GPA: 3.67
WE:Pharmaceuticals (Health Care)
GMAT ToolKit User
Re: Are all right triangles inside a circle, have diameter of circle? [#permalink] New post  26 Sep 2019, 22:36
cwlvc wrote:
if i know a triangle inside a circle is 90%, does that mean 1 of it's sides is the diameter?


Check this question, it is testing your query. I think it is a good one.
https://gmatclub.com/forum/a-triangle-is-inscribed-in-a-circle-a-point-is-randomly-chosen-inside-259587.html#p2365883
User avatar
D
saukrit
Senior Manager
Senior Manager
Joined: 05 Jul 2018
Status:Current student at IIMB
Affiliations: IIM Bangalore
Posts: 384
Location: India
Concentration: General Management, Technology
Schools: IIMB EPGP'22 (A)
GMAT 1: 600 Q47 V26
GRE 1: Q162 V149
GPA: 3.6
WE:Information Technology (Consulting)
Reviews Badge
Re: Are all right triangles inside a circle, have diameter of circle? [#permalink] New post  26 Sep 2019, 22:43
Yes, if all points lie on the circle then the hypotenuse of the right triangle has to be the diameter of the circle.
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1300
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Re: Are all right triangles inside a circle, have diameter of circle? [#permalink] New post  27 Sep 2019, 10:29
I know if the triangle has 1 side as a circle's diameter, and a 90 degrees, then i can use thale's theorem. but i'm wondering if the opposite also work
—> Yes if one angle is 90 degrees, it has to be the diameter of the circle.

if i know a triangle inside a circle is 90%, does that mean 1 of it's sides is the diameter?
—> Yes always

also wondering, if a triangle has it's sides ratio as 3,4,5, or 5,12,13, does that mean the triangle is 90 degrees?
—> Yes, Both the sets (3,4,5) and (5,12,13) satisfy the Pythagoras theorem

Posted from my mobile device
GMAT Club Bot
gmatclubot
Re: Are all right triangles inside a circle, have diameter of circle? [#permalink]
27 Sep 2019, 10:29
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
92760 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions