# Pythagorean theorem formula - Pythagoras Theorem: Formula, Proof, Solved Examples

### Lesson 2

Solution Using Pythagoras Theorem, 8.

### Pythagoras Theorem

One of his notable contributions to mathematics is the discovery of the Pythagorean Theorem.

The program then calculates the length of the hypotenuse c.

Therefore, "The distance of a point from the origin is equal to the square root of the sum of the squares of the coördinates.

### Pythagoras Theorem: Formula, Proof, Solved Examples

Proof 2 In the second proof, we use the same square with four right triangles, the inner white space is a small square whose area is c square.

Using distance formula we can find distance or length between any two points in the coordinate plane.

Figure 6 — The distance formula can find the distance between the points — x, y and x1, y1.

Description: This theorem holds true for this right triangle—the sum of the squares of the lengths of both legs is the same as the square of the length of the hypotenuse.

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Therefore, whole area is going to be a + b the whole square.
Solve it: What is the Pythagorean theorem used for?
We can calculate the length of hypotenuse using the length of side a and side b.

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The Pythagorean Theorem helps us to figure out the length of the sides of a right triangle. If a triangle has a right angle (also called a 90 degree angle) then the following formula holds true: If a triangle has a right angle (also called a 90 degree angle) then the following formula holds true:
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