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.
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:
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.
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
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
This lesson has been accessed 2664 times.