Beyond Pythagoras

The first 200 words of this essay...

Beyond Pythagoras

Pythagoras Theorem is a2 + b2 = c2. 'a' being the shortest side, 'b' being the middle side and 'c' being the longest side (hypotenuse) of a right angled triangle.

The numbers 3, 4 and 5 satisfy this condition:

32 + 42 = 52

32 = 3 x 3 = 9

42 = 4 x 4 = 16

52 = 5 x 5 = 25

Therefore, 32 + 42 = 9 + 16 = 25 = 52

For the numbers 3, 4 and 5, the perimeter and area are as follows:

Perimeter = 3 + 4 + 5 = 12

Area = 1/2 x 3 x 4 = 6

The numbers 5, 12 and 13 also satisfy this condition.

52 + 122 = 132

52 = 5 x 5 = 25

122 = 12 x 12 = 144

132 = 13 x 13 = 169

Therefore, 52 + 122 = 25 + 144 = 169 = 132

5, 12, 13

Perimeter = 5 + 12 + 13 = 30

Area = 1/2 x 5 x 12 =