Which of the following pieces of data does not uniquely determine an acute-angled $△ A B C$
where $R$ is the circumradius of the triangle.

a, sin A, sin B

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a, b, c

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a, sin B, R

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a, sin A, R

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Solution

The correct option is D $a, sin A, R$
Using sine rule
$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C} = 2 R$

Now $b$ and $c$ can not be determined using the data given in option $D$

So the triangle can not be determined.

Option $D$ is correct,

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