Difference between revisions of "2017 UNCO Math Contest II Problems/Problem 1"

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== Solution ==
 
== Solution ==
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<math>12</math>
  
 
== See also ==
 
== See also ==

Revision as of 03:09, 13 January 2019

Problem

[asy] pair A=24*dir(40),B=15*dir(220);  pair C1=(0,0),C2=(52,0); draw(circle(C1,24),black); draw(circle(C2,15),black);  draw(C1--C2,dot); draw(A--(B+C2)); [/asy]

A circle has radius 24, a second circle has radius 15, and the centers of the two circles are 52 units apart. A line tangent to both circles crosses the line connecting the two centers at a point P between the two centers. How much farther is P from the center of the bigger circle than it is from the center of the smaller circle?

Solution

$12$

See also

2017 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions