How do you solve the triangle given #w=20, x=13, y=12#?
1 Answer
"W," "X," and "Y," refer to the angles opposite sides "w," "x," and "y."
Explanation:
"W," "X," and "Y," refer to the angles opposite sides "w," "x," and "y."
Start by finding any angle using the Law of Cosines.
Plugging in the numbers, we get:
Therefore,
Simplifying inside of the parentheses, we get:
Therefore, the measure of angle W is about
Next, we can apply the Law of Sines.
Rearranging the numbers, we get:
Therefore,
Therefore, the measure of angle X is about
Lastly, we can apply the truth that the sum of all interior angles in a triangle is
Simplifying, we find the measure of angle Y to be about:
Therefore, the measure of angle W is