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Non-right Triangles & Trigonometry
Question 1
Which of the following statements about the Law of Sines is correct?
- A
It relates the angles of a triangle to the squares of the opposite sides.
- B
It is only applicable in right triangles.
- C
It relates the lengths of the sides of a triangle to the sines of their opposite angles.
- D
It states that the sum of the sides of a triangle is equal to the product of the sides times the sine of one of the angles.
Question 2
What does the Law of Cosines calculate directly?
- A
The area of a triangle
- B
The cosine of an angle given all sides of the triangle
- C
The length of a side given two sides and the included angle
- D
The height of a triangle
Question 3
In triangle ABC, if angle A is 45 degrees, angle B is 55 degrees, and side a (opposite angle A) is 8 cm, how long is side b (opposite angle B)?
- A
8.76 cm
- B
9.25 cm
- C
7.89 cm
- D
6.53 cm
Question 4
Which of the following is a possible use of the Law of Sines?
- A
To find an unknown angle given all three side lengths
- B
To calculate the area of a triangle
- C
To determine an unknown side when given two angles and one side
- D
To verify if three points form a right triangle
Question 5
If in a triangle ABC, the sides are ( a = 7 ), ( b = 9 ), and ( c = 10 ), what is the measure of angle C using the Law of Cosines?
- A
53.13 degrees
- B
59.04 degrees
- C
67.38 degrees
- D
72.54 degrees
There are 5 questions to complete.