Question

If angles of ∆ABC are in A. P and b:c=√3:√2 . Find the A°, B° and C°

Answer 1

Let angle A,B and C be a,a+d,a-d

A/q. a+d+a+a-d=180

3a=180

a=60

B:C=√3:√2

b^2:c^2=3:2

[(60+d)/(60-d)]^2=3/2

2(3600+d^2+120d)=3(3600+d^2-120d)

7200+2d^2+240d=10800+3d^2-360d

360d=d^2+3600

d^2-360d+3600=0

Solve the quadratic formula and find value.