Let \( a, b, c \) be the sides of a triangle whose perimeter is \( P \) and area is \( A \), the...

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Let \( a, b, c \) be the sides of a triangle whose perimeter is \( P \) and area is \( A \), then
(a) \( P^{3} \leq 27(b+c-a)(c+a-b)(a+b-c) \)
(b) \( P^{2} \leq 3\left(a^{2}+b^{2}+c^{2}\right) \)
(c) \( a^{2}+b^{2}+c^{2} \geq 4 \sqrt{3} A \)
(d) \( P^{4}256 A^{2} \)
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