Diagonals of a Polygon

A diagonal of a polygon is a line segment that joins two nonconsecutive vertices.

4 · (4 − 3) : 2 = 2

Diagonals of a Square

5 · (5 − 3) : 2 = 5 6 · (6 − 3) : 2 = 9

Diagonals of a Pentagon Diagonals of a Hexagon

By applying the Pythagorean theorem for one of the triangles, we obtain:

Calculate the length of the diagonal for the square with a side of 5 cm.

By applying the Pythagorean theorem for one of the triangles, we obtain:

Diagonal of a Rectangle

Calculate the length of the diagonal of a rectangle of 10 cm base and 6 cm height.

Diagonal of a Rectangle