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Pythagorean Theorem & Its Converse

Pythagorean Theorem & Its Converse

Author: Craig Nelson
Description:

To explain the pythagorean theorem, how to use it, and its converse.

A visual explanation of the pythagorean theorem, its converse, and pythagorean triples with examples.

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Tutorial

Words To Know

  • Leg - In right triangles (triangles that have one 90 degree angle) the legs are the two sides that join to form the right angle.  They are the sides adjacent to the right angle.
  • Hypotenuse - In right triangles the hypotenuse is the side that connects the two legs and creates the two angles that are not right angles.  It is the side across from the right angle.
  • Pythagorean Triple - A pythagorean triple consists of three rational integers such that a, b, and c correspond to the equation for the pythagorean theorem a2 + b2 = c2.
  • Converse - The reverse of an "if" and "then" statement.  So the converse of the pythagorean theorem would determine if a triangle is a right triangle.

Pythagorean Theorem

Pythagorean Theorem Proofs

Examples

Pythagorean Triples

Pythagorean Theorem Converse