Talk:2021 AIME I Problems/Problem 9
Revision as of 04:06, 24 January 2024 by MRENTHUSIASM (talk | contribs)
Based on Solution 1:
Note: Instead of solving the system of equations (1)(2) which can be time consuming, by noting that by AA, we could find out
, which gives
. We also know that
by Pythagorean Theorem on
.
. Then using Pythagorean Theorem on
we obtain:
substituting, we get:
Finally, we solve to obtain
.
~Chupdogs
However, I don't think is convincing. How do you find that by AA?
~MRENTHUSIASM