Pythagoras Theorem

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by pjsk2202
Last updated 5 years ago

Discipline:
Math
Subject:
Geometry
Grade:
8

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Pythagoras Theorem

Pythagoras Theorem

The Rule: c² = a² + b²where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides in a right angled triangle.

Scroll down for the answer.c² = a² + b²c² = 3² + 4²c² = 9 + 16c² = 25c = √25c = 5

The life of Pythagoras• 570 BC – 495 BC• Also known as Pythagoras of Samos.• A Greek philosopher and mathematician.• Most famous for Pythagorean theorem.• Founder of Pythagoreanism, a religious movement.• Pythagoreans believed that it was sinful to eat beans.• Pythagoras spent 22 years in Egypt, where he mastered mathematics.• In Egypt, he was taken to Babylon as a prisoner by the Persians.• After 12 years he was set free and returned to his birthplace, Samos, where he began teaching his philosophy.• People in Samos were not welcoming of his self established ideas.• He then moved to Croton in Greece, now in South Italy, where he founded his religion.

When do you use the Pythagoras Theorem?You can use the Pythagoras Theorem when you are presented with a problem involving a right-angled triangle, of which you know 2 of the side lengths and you want to find the 3rd side.You can also use pythagoras to find the length of the diagonal of a square or rectangle (if the length and width are known) and to prove whether a triangle has a right angle or not (if all sides are known).There is many different uses for pythagoras outside of maths, such as finding the length of a ladder leaned against a wall (assuming you know how high the wall is and the distance from the wall to the base of the ladder) and finding the length of the diagonal of a ramp (given the height and length).

The hypotenuse is the side opposite the right angle.

If a right angled triangle with the hypotenuse unknown, and the other two sides are 3m and 4m, what is the length of the unknown side?

A right-angled triangle with all sides as positive integers is called a Pythagorean triple.


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