if a,b and c are the lengths of there sides of a triangle, them option a. a+b>c b. a-b>c c.a+b=C d.a-b=c
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Answer:A,B and C are in arithmetic progression
⇒B=
2
A+C
⇒2B=A+C .......... (1)
A+B+C=180
o
...... (2) [Property of triangle]
From (1) and (2), we get
B=60
o
∴
c
a
sin2C+
a
c
sin2A=
sinC
sinA
2sinCcosC+
sinA
sinC
2sinAcosA
=2sinAcosC+2sinCcosA
=2sin(A+C)=2sinB=2×
2
3
=
3
Step-by-step explanation:
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