Question 191
We will say that a triangle is multiplicative if the product of the lengths of two of its sides is equal to the length of the third side.
Let $A B C \ldots X Y Z$ be a regular polygon of $n$ sides with all its sides of length $1$. The $n-3$ diagonals coming out of vertex $A$ divide triangle $Z A B$ into smaller $n-2$ triangles. Prove that each of these triangles is multiplicative.
Let $A B C \ldots X Y Z$ be a regular polygon of $n$ sides with all its sides of length $1$. The $n-3$ diagonals coming out of vertex $A$ divide triangle $Z A B$ into smaller $n-2$ triangles. Prove that each of these triangles is multiplicative.