Find the number of triangles in the given figure: [Image]

Find the number of triangles in the given figure:

Select an option to attempt

1. A
   12
2. B
   13
3. C
   14
4. D
   15

Correct Answer: Option D

Explanation

Counting triangles in the figure

:Systematically count all triangles:• Individual (smallest) triangles: count directly• Composite triangles made of 2, 3, 4, or more smaller triangles• Both pointing-up and pointing-down triangles must be countedThe total count of all triangles (individual + composite) in the given figure is 15.Method tip: Label all vertices/regions alphabetically, then list all combinations that form valid triangles.Answer: 15 triangles (Option 4).