Difference between revisions of "1966 AHSME Problems/Problem 35"
(Created page with "== Problem == Let <math>O</math> be an interior point of triangle <math>ABC</math>, and let <math>s_1=OA+OB+OC</math>. If <math>s_2=AB+BC+CA</math>, then <math>\text{(A) for eve...") |
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== Solution == | == Solution == | ||
| − | + | By the Triangle Inequality, we see that <math>s_1 > \frac12 s_2</math>, therefore <math>\fbox{C}</math>. -Dark_Lord | |
== See also == | == See also == | ||
Latest revision as of 16:39, 18 May 2019
Problem
Let 
be an interior point of triangle 
, and let 
. If 
, then
Solution
By the Triangle Inequality, we see that 
, therefore 
. -Dark_Lord
See also
| 1966 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 34 |
Followed by Problem 36 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
