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In Delta ABC Prove that following 4...

In `Delta ABC ` Prove that following
` 4( r_1r_2+ r_2r_3+r_3r_1) = (a+ b+ c) ^(2) `

Answer

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Prove that 4 (r_1 r_2 + r_2 r_3 + r_3 r_1) = (a+b+c)^2

In Delta ABC , prove that r_1 + r_2 + r_3 - r = 4R .

Knowledge Check

  • In Delta ABC , 4 ( r_1r_2 + r_2r_3+ r_3r_1) =

    A
    ` a+ b+c`
    B
    ` (a+ b+ c) ^(2) `
    C
    ` abc`
    D
    ` 0 `

  • In any triangle ABC, r_1r_2+r_2r_3+r_3r_1=

    A
    `Delta^2/r^2`
    B
    `Delta/r`
    C
    `(2Delta)/r`
    D
    `Delta^2`

  • In Delta ABC, (r_1+r_2)(r_2+r_3)(r_3+r_1)=

    A
    `4Rs^2`
    B
    `4Rr^2`
    C
    R
    D
    0

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    In Delta ABC , prove that (1)/( r_1 ) + (1)/(r_2) + (1)/( r_3) = (1)/( r) .

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    In Delta ABC, r_1r_2r_3=

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