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Math Help - in a triangle

  1. #1
    Member grgrsanjay's Avatar
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    in a triangle

    1) if in a triangle ABC <A = 60○,then (1+\frac{a}{c}+\frac{b}{c} )(1+\frac{c}{b}-\frac{a}{b}) equals ??
    2)in any triangle ABC least value of R/s

    where R-ortho centre and s-semi perimeter
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  2. #2
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    (1 + \frac{a}{c} + \frac{b}{c})(1 + \frac{c}{b} - \frac{a}{b}) = \frac{( b + c + a)(b + c - a)}{bc} = \frac{(b + c)^2 - a^2}{bc}

    Using the cosine rule, substitue the value of a^2 and simplify.
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