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The three angular points of a triangle a...

The three angular points of a triangle are given by `Z=alpha, Z=beta,Z=gamma,w h e r ealpha,beta,gamma` are complex numbers, then prove that the perpendicular from the angular point `Z=alpha` to the opposite side is given by the equation `R e((Z-alpha)/(beta-gamma))=0`

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Knowledge Check

  • A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha=

    A
    `0^(@)`
    B
    `30^(@)`
    C
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  • alpha, beta, gamma are real number satisfying alpha+beta+gamma=pi . The minimum value of the given expression sin alpha+sin beta+sin gamma is

    A
    zero
    B
    `-3`
    C
    positive
    D
    negative

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