Answer:
To solve for angle C using the Law of Cosines, we can use the formula:
c^2 = a^2 + b^2 - 2ab * cos(C)
Given that a = 3, b = 4, and c = 5, we can substitute these values into the equation:
5^2 = 3^2 + 4^2 - 2 * 3 * 4 * cos(C)
Simplifying further:
25 = 9 + 16 - 24 * cos(C)
25 = 25 - 24 * cos(C)
24 * cos(C) = 0
cos(C) = 0
To find the value of angle C, we need to find the inverse cosine (arccos) of 0. This will give us the angle whose cosine is equal to zero. The arccos function is typically denoted as cos^(-1) or acos.
C = cos^(-1)(0)
Using a calculator or reference table, we find that the angle whose cosine is equal to zero is 90 degrees.
Therefore, C = 90 degrees.
Explanation:
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