# Maths Help! Sprit of Math Catalan sequence question. Grade 9.?

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. In how many ways can a convex heptagon be divided into five triangles if each divided into five triangles if each...
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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. In how many ways can a convex heptagon be divided into five triangles if each divided into five triangles if each different orientation is counted separately? (Hint: look up the Catalan sequence)

(A) 6

(B) 36

(C) 42

(D) 48

(E) 52

(A) 6

(B) 36

(C) 42

(D) 48

(E) 52

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