BMAD Posted April 18, 2013 Report Share Posted April 18, 2013 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? Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted April 18, 2013 Report Share Posted April 18, 2013 the biggest (h+k+m)/r is when r approach zero. the biggest r that fits in a triangle is in an equilateral one. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 18, 2013 Author Report Share Posted April 18, 2013 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? Quote Link to comment Share on other sites More sharing options...
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