If one side of a triangle is double the other and the angles opposite to these sides differ by 60^ , then the triangle is

Step-by-step solution

In ABC , by sine rule, A a = B b = C c According to the given condition, In ABC , a =2 ~b and aligned & A - B =60^ A =60^ + B & (60^ + B ) 2 ~b = B b & B ( B +60^ ) = 1 2 & 2 B = B 60^ + B 60^ & 2 B = B ( 1 2 )+ B ( 3 2 ) & 3 2 B = 3 2 B aligned aligned & B = 1 3 B =30^ & A =30^ +60^ =90^ aligned ABC is right angled.