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(i)Find the length of Angle Bisector...

(i)Find the length of Angle Bisector

A

`(2 bc cos (A)/(2))/(b+c)`

B

`(2 bc sin (A)/(2))/(b+c)`

C

`(abc cosec (A)/(2))/(2R(b+c))`

D

`(2triangle)/(b+c) cosec (A)/(2)`

Text Solution

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The correct Answer is:
A, C, D
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Knowledge Check

  • If A(veca)=2hati+2hatj+2hatk & B(vecb)=2hati+4hatj+4hatk find the length of angle bisector of angleAOB

    A
    `1/2sqrt(136)`
    B
    `1/2sqrt(236)`
    C
    `1/3sqrt(236)`
    D
    `1/3sqrt(136)`

  • In a triangle, with usual notations, the length of the bisector of angle A is

    A
    `(2bc cosA/2)/(b+c)`
    B
    `(2bc sinA/2)/(b+c)`
    C
    `(abc " cosec " A/2)/(2R(b+c))`
    D
    `(2Delta)/(b+c) " cosec " A/2`

  • In a triangle ABC the length of the bisector of angle A is

    A
    `2(bc)/(b+c) sin"A/2`
    B
    `2(bc)/(b+c) cos"A/2`
    C
    `(abc)/(2R(b+c)) cosec"A/2`
    D
    `(4A)/(b+c) cosec"A/2`

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