In triangle ABC if then are in
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Answer:
Let the angles be a,a+d,a+2d. Then
a+a+d+a+2d=180
o
a+d=60
o
So, ∠B=60
o
,
By cosine formula,
cos(B)=
2ac
a
2
+c
2
−b
2
⇒
2
1
=
2ac
a
2
+c
2
−b
2
⇒b
2
=a
2
+c
2
−ac
Hence, D is correct.
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