# pythagoras

**Topics:**Pythagoras, Pythagorean theorem, Hypotenuse

**Pages:**2 (314 words)

**Published:**October 13, 2013

Pythagros’s Family

Born - Approximately 569 BC, Samos Greece

Died -Approximately 500 - 475 BC, Metapontum Italy

Pythagoras is often referred to as the first pure mathematician. He was born on the island of Samos, Greece in 569 BC. Various writings place his death between 500 BC and 475 BC in Metapontum, Lucania, Italy. His father, Mnesarchus, was a gem merchant. His mother's name was Pythais. Pythagoras had two or three brothers. Some historians say that Pythagoras was married to a woman named Theano and had a daughter Damo ,and a son named Telauges who succeeded Pythagoras and maybe taught Empedocles .Others say that Theano was one of his students , not his wife . They also say that Pythagoras never got married and had any children.

General Information

Pythagoras was well educated, and he played the lyre throughout his lifetime, knew poetry and recited Homer. He was interested in mathematics, philosophy, astronomy and music, and was greatly influenced by Pherekydes (philosophy), Thales (mathematics and astronomy) and Anaximander (philosophy, geometry).

Pythagoras Theorem

Years ago, a man named Pythagoras found an amazing fact about triangles: If the triangle had a right angle (90°) and you made a square on each of the three sides, then the biggest square had the exact same area as the other two squares put together!

It is called "Pythagoras' Theorem" and can be written in one short equation: a2 + b2 = c2

Note:

1. c is the longest side of the triangle

2. a and b are the other two sides

Why Is This Useful?

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)

How Do I Use it?

Write it down as an equation:

abc triangle a2 + b2 = c2

Example: Solve this triangle.

right angled triangle

a2 + b2 = c2

52 + 122 = c2

25 +...

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