PythagoreanTheorem

                     Lesson 1

                                                           

                                                            Problem:       One leg of a triangle is 8 cm and other leg is of 6 cm. Find out the hypotenuse?

                                                           

                                                            Solution        Here we have AB = 8 and BC = 6

                                                            Step 1:                                                             

                                                           

                                                            Solution         Using the Pythagorean Theorem                                                      

                                                            Step 2:             AC2 = AB2 + BC2

                   

                                                            Solution        Replacing value AB with 10 and BC with 24 in above formula we have

                                                            Step 3:            AC2 = AB2 + BC2

                                                                                    (x) 2 = (8)2  + (6)2

                                                                                    x= 100 = 10                                        

 

                                                            Solution        Answer = 10 cm

Step 4: 

                                                            Complete      

 

                                                           

                                                           Try two practice problems:  

 

Do the following: 

 

A.

Rima drives her scooter 56 km east and then 152 km north. How far is she from her starting point?

B.

Using the Pythagorean Theorem, find the area of an equilateral triangle whose side measures 32 units.  Find the area to the nearest tenth of a square unit.

 

 

 

 

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