Question

Please look at photo for accurate description and round to final answer to the nearest 10th if needed

Answer 1

Answer:

The correct option is C

There are no possible solutions to the triangle

Step-by-step explanation:

The sides of the triangle can be obtained using Cosine Rule as follows:

`\begin{gathered} a^2=b^2+c^2-2bc\cos A \\ \\ So\text{ that} \\ A=\cos ^(-1)(b^2+c^2-a^2)/(2bc) \end{gathered}`

Using the given parameters, we have:

`\begin{gathered} A=\cos ^(-1)(5.14^2+3.78^2-1.72^2)/(2(1.54*3.78)) \\ \\ =\cos ^(-1)(37.7496)/(11.6424) \\ \\ =\cos ^(-1)3.24 \end{gathered}`

The last line is impossible

We conclude that there are no possible solutions for the triangle