2022 AIME II Problems/Problem 7: Difference between revisions
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A circle with radius <math>6</math> is externally tangent to a circle with radius <math>24</math>. Find the area of the triangular region bounded by the three common tangent lines of these two circles. | A circle with radius <math>6</math> is externally tangent to a circle with radius <math>24</math>. Find the area of the triangular region bounded by the three common tangent lines of these two circles. | ||
==Solution== | ==Video Solution (Mathematical Dexterity)== | ||
https://www.youtube.com/watch?v=7NGkVu0kE08 | |||
==See Also== | ==See Also== | ||
{{AIME box|year=2022|n=II|num-b=6|num-a=8}} | {{AIME box|year=2022|n=II|num-b=6|num-a=8}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 17:58, 18 February 2022
Problem
A circle with radius 
is externally tangent to a circle with radius 
. Find the area of the triangular region bounded by the three common tangent lines of these two circles.
Video Solution (Mathematical Dexterity)
https://www.youtube.com/watch?v=7NGkVu0kE08
See Also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America. 
