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("Area of the incircle")/("Area of trian...

`("Area of the incircle")/("Area of triangle")=pi/(cot""A/2 cot""B/2cot""C/2)`

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Explore conceptually related problems

In a triangle ABC, prove that the ratio of the area of the incircle to that of the triangle is pi:cot((A)/(2))cot((B)/(2))cot((C)/(2))

In a triangle ABC, if r^(2)cot((A)/(2))cot((B)/(2))cot((C)/(2))=

Knowledge Check

  • In a DeltaABC,"cot"A/2+"cot"B/2+"cot"(C)/(2)=

    A
    0
    B
    `"cot"(1)/(2)"A cot"(1)/(2)"B cot"(1)/(2)C`
    C
    1
    D
    none of these

  • In a DeltaABC, "the value of"cot""(A)/(2)cot""(B)/(2)cot""(C)/(2)is

    A
    `ge3sqrt3`
    B
    `ge9`
    C
    `ge6sqrt3`
    D
    none of these

  • In Delta ABC,the value of ("cot" A/2 "cot "B/2-1)/("cot "A/2 "cot" B/2) is

    A
    `a/(a+b+c)`
    B
    `c/(a+b+c)`
    C
    `(2a)/(a+b+c)`
    D
    `(2c)/(a+b+c)`

    • Similar Questions

    Explore conceptually related problems

    In a triangle ABC,if a cot A+b cot B+c cot C=

    cot((A)/(2))+cot((B)/(2))+cot((C)/(2))=

    In Delta ABC, area of incircle : area of Delta ABC=pi:T san((A)/(2))tan((B)/(2))tan((C)/(2))

    If the sides a,b,c of DeltaABC are in A.p., then cot""1/2 A, cot ""1/2A,cot""1/2B, cot""1/2C are in

    If b+c=3a " then the value of " cot ""B/2 cot ""C/2=

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