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If Delta is the area of a triangle with ...

If `Delta` is the area of a triangle with side lengths a, b, and c, then show that `Delta le (1)/(2) sqrt((a + b + c) abc)`. Also show that equality occurs in the above inequality if and only if `a = b = c`

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If Delta is the area of a triangle with side lengths a, b, c, then show that as Delta leq 1/4 sqrt((a + b + c) abc) Also, show that the equality occurs in the above inequality if and only if a = b = c .

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