A polygon has 13 sides. How many triangles can be drawn using the vertices of the polygon?
A polygon has 13 sides. How many triangles can be drawn using the vertices of the polygon?
एक बहुभुज में 13 भुजाएँ हैं। इस बहुभुज के शीर्षों का उपयोग करके कितने त्रिभुज बनाए जा सकते हैं?
Detailed Solution & Logic
286
Simple Solution:
Number of triangles formed using vertices of a polygon:
$= \binom{n}{3} = \frac{n(n-1)(n-2)}{6}$
Here $n = 13$
So,
$= \frac{13 \times 12 \times 11}{6}$
$= \frac{1716}{6} = 286$
Final Answer:
286
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