Geometric Nightmare

Geometry Level 3

Diagram above shows a unit square \(ABCD\), the line \(AD\) is extended to point \(E\) such that \(BE\) is a straight line intersecting the line extended line of \(AD\) at \(E\) with \(F\) as a point of \(BF\) that is a point on line side \(CD\) such that \(FE = 1 \). Let distance \(DE \) be denoted as \(x\). Find the value of \(x\).

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 5 million people

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

Geometric Nightmare

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 5 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.