Pythagorean Theorem

Done by Aya Bazzi

Pythagorean Theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Pythogorean Theorum History

The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras (569 B.C.?-500 B.C.?), who was perhaps the first to offer a proof of the theorem. But people had noticed the special relationship between the sides of a right triangle long before Pythagoras.

Pythagorean Theorum Converse

Pythagorean Thereom converse: If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. Write theConverse Theorem and complete the proof in your Journal.

Real Life Examples Of The Pythagorean Theorem

Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

(3)2 + (4)2 =

9 + 16 = C2

√25 = C

5 Miles. = C

Walking through the field will be 2 miles shorter than walking along the roads. .

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Who Is Pythagoras And What Did He Do?

The famous Greek philosopher mathematician Pythagoras was born circa 570 B.C. on Samos an island lying off the western coast of Asia Minor. Samos was at this time one of the colonies that had been developed by the city states of ancient Greece centred upon Asia Minor and the islands lying off its coasts. Such colonisation had been encouraged moreso by population pressures and political turmoils in ancient Greece rather than by the prospect of trading opportunities.
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Why Does The Pythagorean Theorwm Really Matter?

The Pythagorean theorem is a celebrity: if an equation can make it into the Simpsons, I'd say it's well-known.

But most of us think the formula only applies to triangles and geometry. Think again. The Pythagorean Theorem can be used with any shape and for any formula that squares a number.

Read on to see how this 2500-year-old idea can help us understand computer science, physics, even the value of Web 2.0 social networks.