Question:

How many triangles are present in the given figure? \includegraphics[width=0.5\linewidth]{image5.png}

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Always count in layers: (i) smallest units, (ii) combinations, (iii) spanning shapes. This avoids double counting in figure puzzles.
Updated On: Aug 29, 2025
  • 12
  • 16
  • 20
  • 24
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The Correct Option is D

Solution and Explanation


By systematically counting unit triangles, combinations of two unit triangles, and larger spanning triangles, we obtain: \[ 12 \ (\text{small}) + 6 \ (\text{within-panel larger}) + 4 \ (\text{across-panel}) + 2 \ (\text{largest on each side}) = 24. \] Thus, the figure contains exactly \(\boxed{24}\) triangles.
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