• 0

Triangle heights

Question

Posted · Report post

prob243.gif

Call the altitudes of a triangle: h , k , m; and the radius of its inscribed circle: r.
Find the minimum value of the expression (h + k + m) / r (over all triangles).
Which triangle achieves this minimum?

0

Share this post


Link to post
Share on other sites

2 answers to this question

  • 0

Posted · Report post

the biggest (h+k+m)/r is when r approach zero. the biggest r that fits in a triangle is in an equilateral one.

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

the biggest (h+k+m)/r is when r approach zero. the biggest r that fits in a triangle is in an equilateral one.

How do you know this?

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now

  • Recently Browsing   0 members

    No registered users viewing this page.