Let \(ABC\) be a triangle such that \(AB=24\) is the diameter of of a circle \(O\). Points \(F\) and \(E\) lie on the intersection of the circle and lines \(BC\) and \(AC\), respectively, such that \(BF=1\) and \(AE=3\). Find the perimeter of triangle \(ABC\). Round your answer to the nearest integer.
This problem was created while accidentally misinterpreting an OMO problem. :D
Excel in math and science
Master concepts by solving fun, challenging problems.
It’s hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Your answer seems reasonable.
Find out if you're right!