How many triangles are there in the given figure?
Correct Answer :
10
Solution :
The correct answer is 10.
To find the total number of triangles in the given figure, we analyze both individual (single-region) triangles and composite triangles formed by combining smaller regions.
Let us count the triangles systematically:
1. Small/Single-region triangles:
• The large slant triangle on the far-left side.
• The small corner triangle at the bottom-left vertex.
• The triangle right next to the bottom-left corner cut.
• The large vertical central triangle facing right/downwards.
• The central triangle facing upwards above the bottom rectangle.
• The small upper-right right-angled corner triangle.
• The middle-right inner triangle.
• The small outer-right triangle along the slanted right edge.
• The bottom-right corner triangle.
2. Composite triangles:
• Combining the inner regions in the upper-middle area forms an additional larger composite triangle.
Summing up all individual and combined triangular regions:
Therefore, there are total 10 triangles in the given figure.
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