Question

a man travels 21m in the west direction and then moves 20m due north.find his distance from the first point.

find by using Pythagoras theorem​

Answer 1

Draw a rough diagram according to the given data in the problem,

we get a right angled triangle ,

distance traveled towards North = 24 m

distance traveled towards East = 10 m

 distance from the starting point =Joining the to end points

                                                   = Hypotenuse of the right triangle

using Pythagoras Theorem ,

( Hypotenuse )² = ( base )² + ( height )²

                         = ( 10 )² + ( 24 )²

                         = 100 + 576

                         = 676 

                         = ( 26 )²

Now required distance from starting point = √ ( Hypotenuse )²

                                                                  = √(26)²

                                                                  = 26 m

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