Find the smallest angle of a triangle whose sides are 7, 8 and 9. (Solution in radians)

0.84

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0.89

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0.63

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0.74

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none of these

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Solution

The correct option is A 0.84
Use the cosine rule
$7^{2} = 8^{2} + 9^{2} = 2 \times 8 \times 9 \times cos A$
$c o s A = \frac{64 + 81 - 49}{144} = \frac{96}{144}$
$A \approx 0.84107$ radian

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