Difference between revisions of "2022 AIME II Problems/Problem 11"
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| + | ==Problem== | ||
| + | Let <math>ABCD</math> be a convex quadrilateral with <math>AB=2</math>, <math>AD=7</math>, and <math>CD=3</math> such that the bisectors of acute angles <math>\angle{DAB}</math> and <math>\angle{ADC}</math> intersect at the midpoint of <math>\overline{BC}</math>. Find the square of the area of <math>ABCD</math>. | ||
| + | ==Solution== | ||
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| + | |||
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| + | ==See Also== | ||
| + | {{AIME box|year=2022|n=II|num-b=10|num-a=12}} | ||
| + | {{MAA Notice}} | ||
Revision as of 23:29, 17 February 2022
Problem
Let 
be a convex quadrilateral with 
, 
, and 
such that the bisectors of acute angles 
and 
intersect at the midpoint of 
. Find the square of the area of .
Solution
See Also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 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. 
