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In any Delta ABC, sum a(sin B - sin C) =...

In any `Delta` ABC, `sum` a(sin B - sin C) =

A

2s

B

`a^(2)+b^(2)+c^(2)`

C

0

D

none of these

Text Solution

Verified by Experts

Using sine rule `-a/(sinA)=b/(sinB)=c/(sinC)=k`, we have
`suma(sinB-sinC)`
`=k sum sin A (sin B - sin C)`
= k[sin B(sinA-sinC)+sin B (sinC-sinA)+sinC(sinA-sinB)]I
`=kxx0=0`
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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