Largest angle of the triangle

Calculate the largest angle of the triangle whose sides have the sizes:
2a, 3/2a, 3a

Correct answer:

γ =  117.2796 °

Step-by-step explanation:

x=1 a=2 x=2 1=2 b=3/2 x=3/2 1=23=1.5 c=3 x=3 1=3  c>a>b => γ>α>β  c2 = a2+b2  2 a b cos γ  C=arccos(2 a ba2+b2c2)=arccos(2 2 1.522+1.5232)2.0469 rad  γ=C  °=C π180   °=2.0469 π180   °=117.28  °=117.2796=117°1647"

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