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4 votes
0 answers
84 views

For which natural numbers 𝑛 ≥ 3 is it possible to cut a regular 𝑛-gon into smaller pieces with regular polygonal shape?

I have been working on this question and I found that any regular polygon with n sides works.My claim is that we can cut any regular polygon of n sides into smaller regular polygons with n sides.And ...
Chand16's user avatar
  • 81
0 votes
1 answer
389 views

A polygon has 60 diagonals. How many sides does it have?

I've used this formula to calculate the solution. The number of diagonals of a polygon is $(n(n-3))/2$, where $n$ is the number of sides of a polygon. But I'm getting answer as decimal point. Is the ...
user avatar
1 vote
1 answer
332 views

Polygon Diagonal Combinatorics

A diagonal for a polygon is defined as the line segment joining two non-adjacent points. Given an n-sided polygon, how many different diagonals can be drawn for this polygon? I know that the number of ...
dumon__'s user avatar
  • 150
1 vote
1 answer
894 views

Number of right angled triangles formed by vertices of a 14-gon

Here's a question that I found on the website of International Kangaroo Maths Contest. The question goes like this: What is the total number of right angled triangles that can be formed by joining ...
Faiq Irfan's user avatar
  • 1,313