in triangle ABC if 2LA=3L B=6Lc determine Angle A,b,c

1 answer

clearly
c = 2b
b = 2/3 a

a+b+c = 180
a + 2/3 a + 2(2/3 a) = 180
a + 2/3 a + 4/3 a = 180
3a = 180
a = 60

so, the angles a,b,c are

60,40,80