Converse of the Pythagorean Theorem


The converse of the Pythagorean Theorem helps you to find out if a triangle is a right triangle.






Basically, the converse states that whenever the sum of the squares of two sides equal to the square of the third side of the triangle, the triangle is a right triangle.

For example, given the following 3 sides , is the triangle right?

4, 5, 3

Is 52 = 42 + 32 ?

52 = 25 and 42 + 32 = 16 + 9 = 25

Since 25 = 25, the triangle is a right triangle.

Other examples:

1)

Do the sides 6, 8, and 10 form a right triangle?

Is 102 = 62 + 82 ?

102 = 100 and 62 + 82 = 36 + 64 = 100

Since 100 = 100, the triangle is a right triangle.

2)

Do the sides 9, 12, and 15 form a right triangle?

Is 152 = 92 + 122 ?

152 = 255 and 122 + 92 = 144 + 81 = 225

Since 255 = 255, the triangle is a right triangle.




Buy a comprehensive geometric formulas ebook. All geometric formulas are explained with well selected word problems.





Recent Articles

  1. Linear Parent Function

    Nov 20, 17 11:18 AM

    What is a linear parent function? Crystal clear explanation.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest





Recent Lessons

  1. Linear Parent Function

    Nov 20, 17 11:18 AM

    What is a linear parent function? Crystal clear explanation.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz