ELI5: Explain Like I'm 5

Kepler triangle

A Kepler triangle is a type of triangle that has a special property. Imagine you have a triangle with sides of length A, B, and C. If you add up the square of the length of each side (A² + B² + C²), and then divide that by the product of the three sides (ABC), you get a certain number. If this number is equal to 1, then you have a Kepler triangle!

But why is this important? Well, Johannes Kepler, a clever man from a long time ago, discovered that these special triangles could help describe the orbits of planets. You see, planets travel in an oval-shaped path around the sun, and this oval shape is called an ellipse. Kepler found that if you put a Kepler triangle inside an ellipse, its corners will touch the ellipse at important points, called foci.

So in summary, a Kepler triangle is a special type of triangle that has a certain mathematical property. It was discovered by a clever man named Johannes Kepler, and it helps us understand the orbits of planets by showing us important points on an ellipse.
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