The Answers You Are Looking For!
 
 
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Let's Try Triangulating!
 
# of Sides on the Polygon
3
4
5
6
7
8
9
n
# of Triangles formed when Triangulated
1
2
n-2 
 
 
Using Triangulating to Find Area!

Does triangulating serve us any purpose?  The answer is of course, of course!!!    Since we already know how to find  Areas of Triangles , and we can divide every polygon or shape into triangles, we can find the area of polygons!
 

We For this Exercise, you can assume the length of each side of each polygon is 1 unit!
 
# of Sides of Regular  Polygon
3
4
5
6
7
Area of Each Triangle
 (square root of 3/4)/2
 1/2
.34 
.43 
1.04 
Area of Entire Polygon
 (square root of 3/4)/2
 1
 1.7
 2.6
7.3 
 
Using Triangulating to Find the Sum of Interior Angles!
 
# of Sides of Regular Polygon
3
4
5
6
7
Sum of Interior Angles
 180
360 
540 
720 
900