Pythagorean Theorem
Today we will be discussing the Pythagorean
Theorem, named after a famous
Greek mathematician called Pythagoras. Pythagorean
theorem is very useful in Geometry. See video of Pythagorean Theory
here.
Pythagorean theorem explained

Let's look at
the triangle shown here. It is a right angled
triangle with side a
perpendicular to side b. Side
c is called the
hypotenuse or the
side opposite the right angle.
The
Pythagorean Theorem states that, in any right
angled triangle, the area of the square whose
sides are given by 'c' is the
same as the sum of the areas of squares of
sides a and
b. This is illustrated in the
diagram shown.

Remember, the Pythagorean Theorem only works
in right angled triangles. The Pythagorean Theorem is
summarized by the equation:
However, most of the time, when you are
using the Pythagorean Theorem, you would want to find
c not c^{2}.
Therefore, using the Pythagorean Theorem, we take the square
root of c which gives us:
That's it. In order to find the length of
the longest side of the right angled triangle, just take the
square root of the sum of the other two sides squared.
