notes for the 5th

Area Investigation:
what is the area of a triangle?
1/2 bh.
What if the triangle is an equalateral triangle then what is the formula.

Area of an Equilateral Triangle:
The area of an equalateral is one fourth the square of the length of the side times the square root
of 3.

Area Investagation:
In a regular polygon, how many triangles can be formed with a vertex at the center and one side along the side of the polygon?

DEFENITIONS:
Apothem- the distance from the center to any side of the polygon.

Area investagation
* calculate the area of a regular pentagon, in terms of the side length, s, and the apothem.

* in terms of s and a what is the area of a heptagon?

* In terms of s and a, what is th earea of an ngon?

Area Investagation:
Calculate the area of a regular pentagon, in terms of the side, s, and the apothem

The area of each triangle is 1/2 sa

There are 5 triangles, so the total area is 1/2 sa (5)

In terms of s and a what is the area of a heptagon?

In terms of s and a what is the area of a n-gon?