Pythagorean Theorem and Its Converse

Pythagorean Theorem and Its Converse

Author: Rachel Kaplan

We will cover:
-Proof of the Pythagorean Theorem
-Using the Pythagorean Theorem
-Using the converse of the Pythagorean Theorem

Through a series of powerpoints and examples, we will cover the meaning, proof, and use of the both the Pythagorean Theorem and its converse.

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

27 Sophia partners guarantee credit transfer.

245 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 21 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Table of Contents

Section one: Everything you need to know about the Pythagorean Theorem & its Converse (meaning, proof, solving, etc.)

Section two: Table of Pythagorean Triples

Section three: Examples of solving side lengths of right triangles

Section four: Examples of identifying right triangles

Section five: Answers to examples

All About the Pythagorean Theorem

In this slideshow, learn about the Pythagorean Theorem, how to use it, how to prove it, as well as the converse!

Table of Pythagorean Triples

Here's a list of all the pythagorean triples where the hypotenuse is less than 100:

(3, 4, 5)                  (9, 40, 41)                 (16, 63,65)             (36, 77, 85)

(5,12, 13)             (11, 60, 61)                (20, 21, 29)            (39, 80, 89)

(7, 24, 25)            (12, 35, 37)                (28, 45, 53)            (48, 55, 73)

(8, 15, 17)             (13, 84, 85)               (33, 56, 65)             (65, 72, 97)

Finding the Missing Side Length

Identifying Right Triangles

Answers to Examples