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Showing posts with label Ravi substitution. Show all posts
Showing posts with label Ravi substitution. Show all posts

Tuesday, December 31, 2013

Problem 1-9: Triangle Side Expression

Problem Posts
 [Difficulty 4] [PDF]

QUESTION
(Hong Kong Team Selection Test 2009) Let $a$, $b$, $c$ be the sides of a triangle. Determine all possible values of $$\frac{a^2+b^2+c^2}{ab+bc+ac}$$


Laconic Solution Sketch
Apply Triangle Inequality, or Ravi Transformation.

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Posted by henryjefferson at 7:00 AM No comments:
Labels: algebra, cyclic sum, difficulty-4, geometry, inequalities, problems, Ravi substitution, try small numbers
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