​The Pythagorean Theorem

About Geometry Worksheet Assignment 7.2 :              This assignment can be downloaded for free.

 

Assignment 7.2 is an introduction to the use of the Pythagorean Theorem in calculating the lengths of sides in right triangles.

 

Prerequisite Skills:  Identify the legs and hypotenuse of right triangles (Assignment 3.13).  Find square roots. 

 

Theorem: In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (Pythagorean Theorem).

                          2         2         2

                        a    =   b     +  c            (a and b are the lengths of the legs.  c is the length of the hypotenuse.)

 

 

 

 

                    Forms of the Pythagorean Theorem:  

 

 

                          2         2         2              2        2      2          2       2      2

                        a    =   b     +  c              a   =   c   -  b          b   =  c  -  a