The Pythagorean Theorem

download The Pythagorean Theorem

of 17

  • date post

    23-Feb-2016
  • Category

    Documents

  • view

    43
  • download

    0

Embed Size (px)

description

The Pythagorean Theorem. By: Angela Hand. Born in Samos, Greece during the sixth century B.C. Greek philosopher and mathematician Declared that numbers could uncover the secrets of the universe, limiting and giving shape to matter Discovered Pythagorean Theorem. Pythagoras. - PowerPoint PPT Presentation

Transcript of The Pythagorean Theorem

The Pythagorean Theorem

The Pythagorean TheoremBy: Angela HandPythagorasBorn in Samos, Greece during the sixth century B.C.Greek philosopher and mathematicianDeclared that numbers could uncover the secrets of the universe, limiting and giving shape to matterDiscovered Pythagorean Theorem

Use of the Pythagorean Theorem:The Pythagorean theorem is used to find the length of the missing side in a right triangle.

Important factsPythagorean theorem can only be used in right trianglesLegs are always the sides adjacent to the 90 degree angle (next to)It does not matter which leg is a or bHypotenuse is always the longest leg called c.What is a right triange?A right triangle is a triangle with 90 degree angle.

Formula

a and b represent the legsc represents the hypotenuse How formula works...Determine legs and the Hypotenuse legleghypotenuseRight angleSteps1. Find legs and hypotenuse2. Square the legs (a,b)3. Add legs together4. Square root the answer 5. Answer is the length of the hypotenuse [c]Square both legs and add

42 + 32 = c216 + 9 = c2Square root answer (hypotenuse)

16 + 9 = 2542 + 32 = 52All together

Proof

Example problemFinding a leg

Example 2Find the hypotenuse

ApplicationsUses:Designing of ramps. Whether a handicap accessible ramp of a skateboard ramp.Computing distance between two points, such as in bases in baseball.

Theorem calculator and videoCalculatorVideo

Citation"Pythagoras Biography - Life, Name, History, School, Son, Information, Born, Time." Encyclopedia of World Biography. Web. 19 Oct. 2010. .