Question

TRIGONOMETRY What is the smallest angle of this triangle round to the nearest hundredth

Answer 1

The smallest angle would be the angle opposite the smallest side. The angle is shown below:

To find the measure of the smallest angle, we would be using the cosine rule:

`\cos \text{ C = }(a^2+b^2-c^2)/(2ab)`

Substituting the given sides, we have:

`\begin{gathered} \cos \text{ C = }(34^2+23^2-12^2)/(2*34*23) \\ cos\text{ C = 0.98529} \\ C\text{ = }\cos ^(-1)0.98529 \\ C\text{ = }9.84^0 \end{gathered}`