Lesson Limitations To Triangles

For All Polygons: Sum of Inner Degrees = where 'n' is the number of sides
Also, the sum of the outer angles will always equal 360 degrees.
Triangle: =
The sum of the inner sides of a triangle has to equal 180 degrees; possible triangle angles:
90, 45, 45
90, 30, 60
60, 60, 60
80, 75, 25
75, 70, 35
*For Right Triangles:
Pythagoras's Theorm: where 'b' and 'a' are the legs and 'c' is the hypotenuse
Due to this theorm, we have the distance formula ()
Let us think that one side is 13 (b = 13) and the other side is 7 (a = 7)


+- Hypotenuse can not be a negative length.

*In Any Triangle: The sum of any two sides is greater than the length of the last side.
Example Triangle:
Right Triangle with sides: 8 and 6
Pythagoras's Theorm states that the hypotenuse is 10
8 + 6 > 10
10 + 6 > 8
10 + 8 > 6
The theory is True.
*For All Triangles
if remember that 'a' and 'b' are the lengths and 'A' and 'B' are the angles
*For Triangles with Equal Angles (60,60,60)
The length of all the sides will be equal.
To prove this, use the Law of Sines:
a = b = c