Difference between revisions of "Mock AIME 5 2005-2006 Problems/Problem 2"
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== Problem == | == Problem == | ||
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+ | 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>. | ||
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+ | == Solution == | ||
== Solution == | == Solution == |
Latest revision as of 21:16, 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 |