PYTHAGORAS THEOREM

 

PYTHAGORAS THEOREM

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, the Pythagorean theorem can be expressed as:

where:

• c represents the length of the hypotenuse
• a and b represent the lengths of the other two sides

Let's walk through an example to illustrate how the Pythagorean theorem works:

Example:
Consider a right-angled triangle with side lengths a = 3 units and b = 4 units. We want to find the length of the hypotenuse (c).

Using the Pythagorean theorem, we can set up the equation:

c^2 = a^2 + b^2

Substituting the known values:

c^2 = 3^2 + 4^2
c^2 = 9 + 16
c^2 = 25

To find the length of c, we take the square root of both sides of the equation:

c = √25
c = 5

Therefore, the length of the hypotenuse (c) in this triangle is 5 units.

It's important to note that the Pythagorean theorem applies only to right-angled triangles. If you have a triangle that is not right-angled, you cannot use this theorem to find the relationship between the sides