Difference between revisions of "2008 UNCO Math Contest II Problems/Problem 6"
(Created page with "== Problem == Points <math>A</math> and <math>B</math> are on the same side of line <math>L</math> in the plane. <math>A</math> is <math>5</math> units away from <math>L, B</m...") |
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<asy> | <asy> | ||
− | draw(( | + | draw((-1,0)--(16,0),arrow=Arrow()); |
− | draw(( | + | draw((16,0)--(-1,0),arrow=Arrow()); |
draw((2,0)--(2,5)--(2+sqrt(128),9)--(2+sqrt(128),0),black); | draw((2,0)--(2,5)--(2+sqrt(128),9)--(2+sqrt(128),0),black); | ||
draw((2,5)--(8,0)--(2+sqrt(128),9),dashed); | draw((2,5)--(8,0)--(2+sqrt(128),9),dashed); | ||
Line 20: | Line 20: | ||
MP("5",(2,2.5),W);MP("12",(2+sqrt(128)/2,7),N);MP("9",(2+sqrt(128),4.5),E); | MP("5",(2,2.5),W);MP("12",(2+sqrt(128)/2,7),N);MP("9",(2+sqrt(128),4.5),E); | ||
</asy> | </asy> | ||
− | |||
== Solution == | == Solution == |
Revision as of 21:57, 19 October 2014
Problem
Points and are on the same side of line in the plane. is units away from is units away from . The distance between and is . For all points on what is the smallest value of the sum of the distances from to and from to ?
Solution
See Also
2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |