2019 AIME I Problems/Problem 12
The 2019 AIME I takes place on March 13, 2019.
Problem 12
Given 
, there are complex numbers 
with the property that , 
, and 
are the vertices of a right triangle in the complex plane with a right angle at . There are positive integers 
and 
such that one such value of is 
. Find 
.
Solution
See Also
| 2019 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 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. 
