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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

#1**0 **

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