
Determine the number of triangles in a standard triangle intersecting with all three medians (as referenced in standard figure configurations).
- A
- B
- C
- D
Solution & Step-by-step Explanation
When all three medians of a triangle are drawn, they intersect at a single point (centroid) and divide the main triangle into smaller parts:
1. Single individual small triangles: triangles.
2. Triangles formed by combining 2 adjacent small triangles: triangles.
3. Triangles formed by combining 3 adjacent small triangles (each median cuts the large triangle in half): triangles.
4. The entire large outer triangle: triangle.
1. Single individual small triangles: triangles.
2. Triangles formed by combining 2 adjacent small triangles: triangles.
3. Triangles formed by combining 3 adjacent small triangles (each median cuts the large triangle in half): triangles.
4. The entire large outer triangle: triangle.