Q1. In the triangular crop-bed layout shown above, count the total number of triangles.
Explanation
There are 3 interior cevians from the apex, so the base is split into 4 parts and there are 5 rays from the apex including the two sides. Without the midline, the number of triangles is C(5, 2) = 10. The midline doubles this construction, so total triangles = 10 × 2 = 20. The correct count is 20. The usual trap is to count only the larger apex triangles and miss the equal set formed with the midline.
