Question Details

How many triangles are there in the given figure?

Options

A

10

B

11

C

12

D

9

Show Answer

Correct Answer :

Option A

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.


Image


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:

Total triangles=9+1=10


Therefore, there are total 10 triangles in the given figure.

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