## Pythagorean Theorem

### The Pythagorean Theorem is a fundamental concept in geometry that relates to right triangles

The Pythagorean Theorem is a fundamental concept in geometry that relates to right triangles. It states that in a right 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 represented as:

a^2 + b^2 = c^2

Where ‘a’ and ‘b’ represent the lengths of the two shorter sides (also known as the legs) of the right triangle, and ‘c’ represents the length of the hypotenuse.

For example, if a right triangle has leg lengths of 3 units and 4 units, we can use the Pythagorean Theorem to find the length of the hypotenuse.

Using the formula, 3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

Taking the square root of both sides, we find that the length of the hypotenuse, c, is 5 units.

The Pythagorean Theorem is used in various applications in mathematics, physics, engineering, and everyday life. It allows us to calculate unknown side lengths or check if a triangle is a right triangle based on its side lengths.

##### More Answers:

The Role of Legs in a Right Triangle | Exploring Their Lengths, Applications, and the Pythagorean TheoremUnderstanding Right Triangles | Properties, Pythagorean Theorem, and Applications

Exploring the Properties and Applications of Right Angles in Mathematics