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If the sides of a triangle are $\sin a, \cos a$ , $\sqrt{1 + \sin α \cos α}$ , $0$ $< α < \frac{π}{2}$ the largest angle is

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Correct option is C

The largest side is $c = \sqrt{1 + \sin α \cos α}$

$\cos C = \frac{a^{2} + b^{2} - c^{2}}{2 a b}$

$= \frac{\sin^{2} α + \cos^{2} α - (1 + \sin α \cos α)}{2 \sin α \cos α} = - \frac{1}{2}$

$∴ C = 120 °$ .

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If the sides of a triangle are sina, cosa,1+sinα cosα,0<α <π2 the largest angle is