Answer by Neelarghya Kundu for How many triangles can be formed by the...
To solve this lets break this problem into $3$ parts:Part 1:Total number of triangles that can form without any restrictions$=nC3$[choosing three points from $n$ points]Part 2:Let us choose triangles...
View ArticleAnswer by user766881 for How many triangles can be formed by the vertices of...
The number of triangles with two sides common with regular polygon having $n$ number of sides $$=\text{number of sides in polygon}=n$$There are $n-4$ options to form triangle with one side common with...
View ArticleAnswer by jeevan for How many triangles can be formed by the vertices of a...
total no of triangles formed by joining vertices of n-sided polygon$$= \frac{n(n-1)(n-2)}{6}$$i.e. selection of 3 points from n points = n(C)3$\implies$ can also be written as sum of no of triangles...
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Answer by Harish Chandra Rajpoot for How many triangles can be formed by the...
Consider a regular polygon with $n$ number of vertices $\mathrm{A_1, \ A_2,\ A_3, \ A_3, \ldots , A_{n-1}}$& $\mathrm{A_{n}}$Total number of triangles formed by joining the vertices of n-sided...
View ArticleHow many triangles can be formed by the vertices of a regular polygon of $n$...
How many triangles can be formed by the vertices of a regular polygon of $n$ sides? And how many if no side of the polygon is to be a side of any triangle ?I have no idea where I should start to think....
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