Question

6. In the adjoining figure, C is mid-point of AB and D is mid-point of
AC Prove that AD
AB.​

Answer 1

Answer:

i am proving it by taking it as DB= 1/4AB

 

proof=    a mid point divide a line into two equal parts 

              therefore, AC=CB .............(1)

                              CD=DB.............(2)

              hence, AB=AC+CB...............(3)

                          

             putting the value of CB in equation (1),

              AC=CD+DB

              AC=DB+DB    (CD=DB from equation 2)

              AC= 2DB     ...............(4)

             CB= 2DB         (AC=CB from equation 1)        ............(5)

    

             AB=AC+CB     (from equation 3)

             putting the value of AC and CB from equation (4) and (5),we get

             AB= 2DB+2DB

             AB= 4DB

             AB/4 = DB

         or, 1/4AB = DB