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


Lesson 2


To see the answer, pass your mouse over the colored area.





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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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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    +345reps
    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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