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The formula 180(n-2) gives the number of degrees in the angles of a convex polygon because n-2 triangles can be drawn (with no lines crossing) in a polygon with n sides, each triangle containing 180 degrees. In how many ways can a convex heptagon be divided into five triangles if each different orientation is counted separately?

Guest Jan 19, 2018
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The formula 180(n-2) gives the number of degrees in the angles of a convex polygon because n-2 triangles can be drawn (with no lines crossing) in a polygon with n sides, each triangle containing 180 degrees. In how many ways can a convex heptagon be divided into five triangles if each different orientation is counted separately?

 

I am not sure I understand the question ......

 

Wouldn't it just be 7 ways. One way from each vertex?    Perhaps you mean something different?

Melody  Jan 20, 2018

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