2022 MMATHS Individual Round Problems
Problem 1
Suppose that 
and 
. Compute 
.
Problem 2
Triangle 
has 
and 
. Points 
and 
are the reflections of 
over 
, over , over 
, over , over , and over , respectively. Find the area of hexagon 
.
Problem 3
Luke and Carissa are finding the sum of the first 
positive integers by adding them one at a time. Luke forgets to add one number and gets an answer of 
. Carissa adds a number twice by mistake and gets an answer of 
. What is the sum of the number that Luke forgot and the number that Carissa added twice?
