Answer:
Explanation:
For this kind of triangle, we can use the Law of Sines to find the values of the sides. But first, we must determine the value of the third angle of the triangle. We must remember that the interior angles of a Triangle add up to 180°. So,
Angle A + Angle B + Angle C = 180
We plug in what we know.
72.4+Angle B+48.2=180
Simplify and rearrange
Angle B=180-72.4-48.2
Angle B= 59.4°
Now, to solve for the sides, we use the Law of Sines since the given triangle is not a right triangle. The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles. We can use the drawing below as a guide:
So, based on the given problem, we find the length of the side BC:
For AB:
Therefore, the length of AB is 22.2 ft while the length of BC is 28.3 ft.
