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In a triangle ABC, 2 ac sin (1/2(A-B + C...

In a triangle `ABC, 2 ac sin (1/2(A-B + C)) =`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

We have,
`2acsin((A-B+C)/2)=2acsin((pi-2B)/2)=2accosB=c^(2)+a^(2)-b^(2)`
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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