All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
The Triangle (Posted on 2002-06-03) Difficulty: 2 of 5
An equilateral triangle with one side 6cm is inscribed in a circle with its three vertices on the circumference. What is the diameter of the circle?

See The Solution Submitted by Dulanjana    
Rating: 2.6923 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Trigonometry? | Comment 2 of 20 |
Let's label the triangle's vertices A,B and C, and the center of the circle - O.

Find a midpoint between A and B, call it M. AOM will be a right triangle with one of the legs equal to 3 in length (since AM is half of AB). The angle OAM is equal to 30 degrees. The hypothenuse is the radius of the circle which we are trying to find.

As far as I recall there's an easy trig formula for finding the length of the hypothenuse if you know one of the angles and an adjacent leg. Just wish I remembered it :)
  Posted by levik on 2002-06-03 18:27:43
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information