Question

What does the sketch of the triangle look like? And what’s side a measurement? Been stuck on this problem for an hour need help!

Answer 1

`a\text{ = 5.936}`

Step-by-step explanation:

Here, we want to sketch the triangle

We start by having a diagram as shown below:

From here, we want to use the law of sines to get the value of a

a is the side that faces the angle A

According to the law of sines, the ratio of the measure of a side and the sine of the angle that faces the side is the same for all the sides of the triangle

Mathematically:

`\begin{gathered} \frac{a}{Sin\text{ 36}}\text{ = }\frac{10}{Sin\text{ 82}} \\ \\ a\text{ = }\frac{10\text{ sin 36}}{sin\text{ 82}} \\ \\ a\text{ = 5.936} \end{gathered}`