A right triangle is a triangle with one internal angle that measures 90°. The Pythagorean Theorem helps determine if you're dealing with a right triangle.

www.mathselab.com

What is the Pythagorean Theorem?It states that the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle.

www.mathselab.com

www.mathselab.com

Consider the three squares shown below. Are the combined areas of the two smaller squares larger than the area of the largest square?

www.mathselab.com

Geometric Proof of the Pythagorean Theorem

the sum of the areas of two smaller square=area of the largest square

www.mathselab.com

www.mathselab.com

www.mathselab.com

Applications of the Pythagorean Theorem

- Navigation- Architecture and Construction - Surveying