How many triangles are there in the given figure?
- A13
- B11
- C10
- D12
Solution & Step-by-step Explanation
Let's count the total number of triangles systematically by analyzing the structure:
Small individual triangles: Count the basic non-overlapping triangular components present within the quadrants and apex regions. There are 6 small individual triangles.
Triangles formed by combining 2 regions: Combining inner components vertically and diagonally along the axes gives 3 additional triangles.
Triangles formed by combining 3 or more regions: Counting larger segments that use the central vertical bisector yields 2 medium-sized triangles.
The main outermost large triangle: Counts as 1.
Total number of triangles = 6+3+2+1=12.
Small individual triangles: Count the basic non-overlapping triangular components present within the quadrants and apex regions. There are 6 small individual triangles.
Triangles formed by combining 2 regions: Combining inner components vertically and diagonally along the axes gives 3 additional triangles.
Triangles formed by combining 3 or more regions: Counting larger segments that use the central vertical bisector yields 2 medium-sized triangles.
The main outermost large triangle: Counts as 1.
Total number of triangles = 6+3+2+1=12.