Answer:
Law of Cosines; A ≈ 61°, B ≈ 89°, C ≈ 30°
Step-by-step explanation:
In this problem the given values are the length sides of the triangle, therefore, the triangle should be solved by beginning with the Law of Cosines
step 1
Applying the law of cosines find the value of angle C
we know that
we have
substitute the values and solve for cos(C)
step 2
Applying the law of cosines find the value of angle B
we know that
we have
substitute the values and solve for cos(B)
step 3
Find the measure of angle A
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
we have
substitute and solve for A