The challenge as described hereafter is to create a total of 4 similar triangles by drawing 4 triangle in a scalene, acute triangle - out of the 5 resulting triangles (4 that make the original one)
If D, E, and F are the middle of the sides of the triangle ABC than the 4 triangles created are equivalent and with the original triangle we get 5 similar triangles.
The challenge: In a triangle create four internal triangles as described in the following diagram. The requirement is that with the original triangle you get exactly FOUR similar triangles.
What is unique about the internal triangle KJL? What is unique about the points on the sides, K, J, and L?