Difference between revisions of "Mock AIME 5 2005-2006 Problems/Problem 2"
m (Created page with "== Problem == == Solution == == See also == {{Mock AIME box|year=2005-2006|n=5|source=76847|num-b=1|num-a=3}} Category:Introductory Geometry Problems") |
m (→Problem) |
||
| Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
| + | |||
| + | A circle <math>\omega_1</math> of radius <math>6\sqrt{2}</math> is internally tangent to a larger circle <math>\omega_2</math> of radius <math>12\sqrt{2}</math> such that the center of <math>\omega_2</math> lies on <math>\omega_1</math>. A diameter <math>AB</math> of <math>\omega_2</math> is drawn tangent to <math>\omega_1</math>. A second line <math>l</math> is drawn from <math>B</math> tangent to <math>\omega_1</math>. Let the line tangent to <math>\omega_2</math> at <math>A</math> intersect <math>l</math> at <math>C</math>. Find the area of <math>\triangle ABC</math>. | ||
| + | |||
| + | == Solution == | ||
== Solution == | == Solution == | ||
Latest revision as of 20:16, 8 October 2014
Contents
Problem
A circle 
of radius 
is internally tangent to a larger circle 
of radius 
such that the center of lies on . A diameter 
of is drawn tangent to . A second line 
is drawn from 
tangent to . Let the line tangent to at 
intersect at 
. Find the area of 
.
Solution
Solution
See also
| Mock AIME 5 2005-2006 (Problems, Source) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
