Home
Class 11
MATHS
In Delta ABC Prove that sin ^(2) ""...

In ` Delta ABC ` Prove that
` sin ^(2) "" (A)/(2) + sin ^(2) ""(B) /(2) + sin ^(2) ""( C) /(2) =1 -( r) / ( 2R) `

Text Solution

Verified by Experts

The correct Answer is:
`1- ( r)/( 2R)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) II.|6 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

  • STRAIGHT LINE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-3(e)) |32 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , a sin ^(2) "" ( C ) /(2) + c sin ^(2) "" (A ) /(2) in terms of s,a,b,c is

If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ sin^(2). (B)/(2) - sin ^(2). (C)/(2) =1-2 cos. (A)/(2) cos. (B)/(2) sin .(C)/(2)

In DeltaABC show that sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2)=1-(r)/(2R) (ii) cosA+cosB+cosC=1+(r)/(R)

In Delta ABC , if sin ^(2)A +sin ^(2) B +sin ^(2) C =(3)/(4) , then the triangles is

In Delta ABC r_1 cot "" (A)/(2) + r_2 cot "" (B)/(2) + r_3 cot "" ( C )/(2) =

In Delta ABC, cos""(A)/(2) + sin""((B-C)/(2))=

In Delta ABC , sum sin""(A)/(2) cos""((B-C)/(2))=

If A+B+ C =pi , then prove that cos ^(2) (A/2)+ cos ^(2) (B/2) +cos ^(2) (C/2)=2(1+sin . (A)/(2) sin. (B)/(2) sin. (C)/(2))