Given triangle ABC with a = 16, b = 14, and β = 54°, find the value of c.
which angle is β
Is it A, B, or C ?
There was no diagram to show me that. It was just this question.
I am not so good at guessing at questions.
We have to know which angle is 54° .
To find the value of c in triangle ABC, we can use the law of cosines. The law of cosines states that in a triangle with side lengths a, b, and c, and angle θ opposite to side c, the following equation holds:
c² = a² + b² - 2ab * cos(θ)
In this case, we are given a = 16, b = 14, and β = 54°, which is the angle opposite side b. We need to find c.
Using the law of cosines, we can substitute the given values into the equation:
c² = 16² + 14² - 2(16)(14) * cos(54°)
Simplifying this equation will give us the value of c.