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15 February, 12:21

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is

1. Sqrt 8

2. Sqrt 37

3. Sqrt 27

4. 4

+3
Answers (1)
  1. 15 February, 15:47
    0
    Correct option: 2 - > sqrt (37)

    Step-by-step explanation:

    To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

    The equation of the law of cosines is:

    c^2 = a^2 + b^2 - 2 * a * b * cos (C)

    So, we have that:

    c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

    c^2 = 49 + 9 - 21

    c^2 = 37

    c = sqrt (37)

    Correct option: 2
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