Triangles in Semicircle

Geometry Level 2

What is the area of the largest triangle that we can inscribe in a semicircle of radius 1? One of the sides of the triangle has to lie on the diameter.

Once you solve this, try this related problem

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.