The Pythagorean Theorem

                    Lesson 1

                                 

                                                            Problem:                   Find the third side of given triangle, the other two sides are 5 and 3.

                                                 

                                                            Solution                    Here we have AB = 5 and BC = 3

Step 1:  

                     

                                                            Solution                    Using the Pythagorean Theorem

Step 2:                                    AB2 + BC2 = AC2     

Solution                    Replacing value AB with 4 and BC with 3 in above formula we have:

Step 3:                                    AB2 + BC2 = AC2  

 

                                                                                      (5)+ (3)2 = (x)2

 

                                                                                       (x)2 = (5)2 + (3)2= 25 + 9 = 34

 

                                         x= 34 = 5.83        

           

                                                            Solution                    The answer is: 5.83

Step 4:                                                                      

Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

Determine the length of the third side of the right triangle:

 

A.

_________

B.

_________

 

 

        

 

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