\(N\) line segments, with lengths no greater than 10 inches, and no shorter than 1 inch, are given. What is the minimum value of \(N\) such that you are assured to make a triangle with any 3 line segments without violating the triangle inequality?
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!