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The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.
<h3 /><h3>What is the law of cosine?</h3>When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
Triangle ΔABC has side lengths of a = 18, b=18√3 and c = 36 inches.
- Part A: Determine the measure of angle A
Put the value, in the cosine law, the measure of angle A.
- Part B: Show how to use the unit circle to find tan A
Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,
- Part C: Calculate the area of ΔABC.
Use the following formula to find area of ΔABC.,
Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.
Learn more about the law of cosine here;
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