November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting Started - Pythagorean Theorem.

This mini-lesson introduces and walks you through the basic concepts of the Pythagorean Theorem involving the relationship between the sides of a right triangle, adjacent angles, and proofs of the theorem. You will learn it with the help of some examples, practice questions with solution, using video and explanation in own handwriting by the instructor that brings in an element of real-class room experience.

Pythagorean Theorem is a relation among the three sides of a right triangle (only works in right triangles). Right triangle is a triangle with one right angle and has two sides called legs and third side opposite to the right triangle i.e. the longest side and is called the hypotenuse. The theorem states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the other two legs (the two sides that meet at a right angle).

In summary: the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. If we let*c* be the length of the hypotenuse and *a*, *b* be the lengths of the other two sides, it is expressed as

*c*^{2} = *a*^{2} + *b*^{2}.

You’ll also explore the proof of Pythagorean Theorem and the property, if the side-lengths of a right triangle are whole numbers, then the three lengths show a Pythagorean triple. For example, 3, 4, 5 and 5, 12, 13 are Pythagorean triples.

This mini-lesson introduces and walks you through the basic concepts of the Pythagorean Theorem involving the relationship between the sides of a right triangle, adjacent angles, and proofs of the theorem. You will learn it with the help of some examples, practice questions with solution, using video and explanation in own handwriting by the instructor that brings in an element of real-class room experience.

Pythagorean Theorem is a relation among the three sides of a right triangle (only works in right triangles). Right triangle is a triangle with one right angle and has two sides called legs and third side opposite to the right triangle i.e. the longest side and is called the hypotenuse. The theorem states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the other two legs (the two sides that meet at a right angle).

In summary: the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. If we let

You’ll also explore the proof of Pythagorean Theorem and the property, if the side-lengths of a right triangle are whole numbers, then the three lengths show a Pythagorean triple. For example, 3, 4, 5 and 5, 12, 13 are Pythagorean triples.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

- Mathematics > General
- Mathematics > Geometry
- Education > General

- Grade 9
- Grade 10
- Grade 11
- Grade 12