Pythagorean Theorem Formula Example

The pythagorean theorem is a special case of the more general theorem relating the lengths of sides in any triangle, the law of cosines: 5 2 + 12 2 = x 2. Check whether the set (24, 7, 25) is a pythagorean triple.

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The Pythagorean Theorem was created by Pythagoras, a Greek

The formula and proof of this theorem are explained here with examples.

Pythagorean theorem formula example. A 2 + b 2 = c 2 6 2 + 8 2 = x 2. 1 + 1 = c2. Bc2 = ab2 +ac2 bc 2 = ab 2 + ac 2.

What is the pythagorean theorem? The following diagram gives the formula for the pythagorean theorem, scroll down the page for more examples and solutions that use the pythagorean theorem. Only positive integers can be pythagorean triples.

Some example problems related to pythagorean theorem are as under: 49 + 576 = 625 (true) therefore, (24, 7, 25) is a pythagorean triple. Substitute the two known sides into the pythagorean theorem's formula:

How to use the pythagorean theorem. Bc bc is the hypotenuse. The hypotenuse is the longest side and is opposite the right angle.

Find the length of side t in the triangle on the left. The pythagorean theorem helps in computing the distance between points on the plane. It works the other way around, too:

Square each term to get 16 + 64 = c²; Length of base = 6 units length of hypotenuse = 10 units In real life, pythagorean theorem is used in architecture and construction industries.