Question

The number of triangles in the given figure is: \includegraphics[width=0.5\linewidth]{Q53.png}

• A. 13
• B. 15
• C. 17
• D. 14

Hint:

In counting triangle problems, always consider: - Simple triangles - Composite triangles (formed by combining smaller ones) - Symmetry in the figure to avoid undercounting or overcounting.

Answer 1

The Correct Option is C

We count all individual and composite triangles in the figure: - Triangles formed in each of the 4 smaller triangles: \(4\) - Triangles formed by combining two smaller ones: \(4\) - Triangles in the center by diagonals crossing: \(4\) - Triangles formed by combining three small ones: \(3\) - Entire big triangle at the top: \(1\) \[ \Rightarrow \text{Total} = 4 + 4 + 4 + 3 + 1 = 17 \]