Question

Point A is a vertex of an 8-sided polygon. The polygon has 8sides of equal length and 8 angles of equal measure. When allpossible diagonals are drawn from point A in the polygon, how manytriangles are formed?

A) four
B) five
C) six
D) seven
E) eight

Answer 1

When all possible diagonals are drawn from a vertex in an 8-sided polygon (octagon), it forms 6 triangles.

Step-by-step explanation:

An 8-sided polygon is called an octagon. When all possible diagonals are drawn from a vertex (Point A) in the octagon, it forms triangles. To count the number of triangles formed, we need to count the number of diagonals that can be drawn from Point A. In an octagon, each vertex connects to every other vertex except the adjacent ones. So, there are 6 diagonals that can be drawn from Point A. Therefore, the number of triangles formed is equal to the number of diagonals, which is 6.