Pythagorean Word Problems

                    Lesson 1

                                 

                                                            Problem:                   One side of a triangle is 7 cm and other side is of 5 cm. What is the hypotenuse?

                                                            Solution                    Here we have AB = 7 and BC = 5

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  

 

                                                                                      (7)2  + (5)2 = (x)2

 

                                                                                       (x)2 = (7)2 + (5)2= 49 + 25 = 74

 

                                         x= √74 = 8.6        

           

                                                            Solution                    The answer is: 8.6

 Step 4:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

Do the following:

A.

What is  the height of an equilateral triangle of 12m formed by two buildings standing together?

B.

If a side of a triangle is 15ft long, and another side is 17ft long, what is the length of the hypotenuse?

 

 

        

 

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