the construction of triangle ABC,GIVEN that BC=4.5cm angle C=60 degrees is possible when difference of AB and AC =

i 4.9cm ii 5cm iii 5.2cm iv 4.1 cm Please answer with justification

Dear Student,

Please find below the solution to the asked query:

Given : Triangle ABC , Given that BC = 4.5 cm angle C=60 degrees is possible So , 

difference of AB and AC =  4.1 cm 

As we know difference of two sides always smaller  than the third side , So

AB -  AC  <  4.5                            ( Given BC  =  4.5 cm )

So , From given options we get

AB  -  AC  = 4.1                          ( Ans )

Hope this information will clear your doubts about Construction .

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards