Question

Triangle ΔABC has side lengths of a = 18 b = 18 radical 3 and c = 36 inches.Part A: Determine the measure of angle A period (5 points)Part B: Show how to use the unit circle to find tan A. (2 points)Part C: Calculate the area of ΔABC. (3 points)

Answer 1

Given:

There are given that the triangle ABC.

Where,

$\begin{gathered} a=18in \\ b=18\sqrt{3}in \\ c=36in \end{gathered}$

Explanation:

According to the question:

We need to find the value for parts A, B, and C.

Then,

For part A:

To find the value of measure angle A, we will use the cosine rule:

So,

From the cosine rule:

$a^2=b^2+c^2-2bccosA$

Then,

Put the value of a, b, and c into the given formula:

So,