40. Identify the correct statement (A) If a, b, c are odd integers a + b + c cannot be zero (B) If a, b, c are odd integers a2 + b2 c2 is not equal to 0(zero) (C*) If a2 + b2 = c2 , then at least one of a, b, c is even, given that a, b, c are integers (D) If a2 + b2 = c2 where a, b, c are integers then c > a + b

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a, b, c, d

d = a^{2} + b^{2} + c^{2}

a + b + c + d

\frac{b^{2} + c^{2}}{b + c} + \frac{c^{2} + a^{2}}{c + a} + \frac{a^{2} + b^{2}}{a + b} \geq a + b + c

D = a^{2} + b^{2} + c^{2}

a

b

c = a b

\sqrt{D}

a, b, c

\frac{a^{2} + a b + b^{2}}{b^{2} + b c + c^{2}} = \frac{a}{c}

\frac{a^{2} + b^{2} + c^{2}}{{(a + b + c)}^{2}} = \frac{a - b + c}{a + b + c}

a, b, c

a + b - c = 1

a^{2} + b^{2} - c^{2} = - 1

a^{2} + b^{2} + c^{2}

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