In △ ABC, it is known that the maximum internal angle a is twice of the minimum internal angle c, and the lengths of three sides a, B and C are three continuous positive integers, so the lengths of each side can be calculated

In △ ABC, it is known that the maximum internal angle a is twice of the minimum internal angle c, and the lengths of three sides a, B and C are three continuous positive integers, so the lengths of each side can be calculated

According to the sine theorem
a/sinA=b/sinB=c/sinC
Let B = a + 1, C = a + 2, C = 2A
A * sinc = C * Sina
A * sin2a = (a + 2) Sina and sin2a = 2sinacosa
Cosa = (a + 2) / 2A
According to the cosine theorem
cosA=(b^2+c^2-a^2)/2bc b=a+1 c=a+2
A ^ 2-3a + 4 = 0, a = 4
b=5 c=6