Minimum perimeter

Geometry Level 5

As shown, $ABC$ is an equilateral triangle of side length 10. The points $D, E$ and $F$ on $BC, AB$ and $AC$ respectively with $DB=2$ . Let $s= DE+EF+FD$ . Find the minimum value of $\lfloor 100s\rfloor$ .

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 8 million people

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

Minimum perimeter

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 8 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.