Squares and midpoints

Geometry Level 3

Let \(ABCD\) be a square with side length 1, \(M\) and \(N\) be the midpoint of line segments \(AB\) and \(BC\) respectively, and \(CM\) and \(DN\) cut at point \(I\). What is the length of \(AI\)?

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Squares and midpoints

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, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.