Malan triangles

Malan triangles are a special type of triangle named after a mathematician called Malan. They are made up of smaller triangles inside them, which are also called sub-triangles. Imagine cutting a triangle into smaller triangles, and then cutting those smaller triangles into even smaller triangles. This is what creates a Malan triangle.

Malan triangles are special because they have a pattern that you can follow. This pattern involves taking each sub-triangle and making it the hypotenuse of a right triangle with sides that are equal in length. Then, you can create even smaller sub-triangles within those right triangles, and continue the pattern.

Malan triangles are interesting because they are self-similar, meaning they look the same no matter what size they are. You can keep making them smaller and smaller, and they will still have the same pattern.

Overall, Malan triangles are a cool mathematical concept that involve creating smaller triangles within a larger triangle, and following a pattern to create even smaller sub-triangles. They are self-similar and a fun way to explore geometry.