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Drop a perpendicular AO from A on CB. As it is an isosceles triangle it will bisect the 60 degrees angle in two equal parts of 30 degrees each. Now CB has two parts CO and OB. CO equals to AC.Sin30 , similarly OB equals to AB.Sin30. Now, CO plus OB equals to AC.Sin30 plus AB.Sin30. But because AC equals to AB, thus CB equals to 2AC.Sin30. Putting the value of Sin30 equals to 1/2.We find CB equals to AC. Thus all three sides are equal.
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