Question

In the given figure angle A is greater than angle B and angle D is greater than angle C .Show that BC is greater than AD?

Answer 1

GIVEN

             angle b < angle a

             angle c < angle d

TO PROVE

                 

                  AD < BC

PROOF

             angle b < angle a

       SO,

              OA < OB  ( SIDE OPPOSITE TO SMALLER ANGLE IS SMALL ITS THEOREM GIVEN IN NCERT) LET THE ABOVE ONE BE 1

     

      NOW,

                 angle c < angle d

         SO,

              OD <  OC ( SIDE OPPOSITE TO SMALLER ANGLE IS SMALL ITS THEOREM GIVEN IN NCERT)

​  LET THE ABOVE ONE BE 2

NOW,

            ADDING 1 AND 2

 

     OA + OD < OB + OC

ADDING WE GET,  

      AD < BC

                      HENCE PROVED

Answer 2

Explanation:

Above answer is cortect