Difference between revisions of "2024 AIME I Problems/Problem 10"
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| + | ==Problem== | ||
| + | Let <math>ABC</math> be a triangle inscribed in circle <math>\omega</math>. Let the tangents to <math>\omega</math> at <math>B</math> and <math>C</math> intersect at point <math>P</math>, and let <math>\overline{AP}</math> intersect <math>\omega</math> at <math>D</math>. Find <math>AD</math>, if <math>AB=5</math>, <math>BC=9</math>, and <math>AC=10</math>. | ||
| + | ==See also== | ||
| + | {{AIME box|year=2024|n=I|num-b=9|num-a=11}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Revision as of 19:22, 2 February 2024
Problem
Let 
be a triangle inscribed in circle 
. Let the tangents to at 
and 
intersect at point 
, and let 
intersect at 
. Find 
, if 
, 
, and 
.
See also
| 2024 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
