176k views
3 votes
In △abc, b = 620 cm, mm∠c=106° and mm∠a=48°. find the length of a, to the nearest centimeter. an

User Abie
by
8.0k points

1 Answer

5 votes

Final answer:

To find the length of side a in triangle ABC, use the Law of Sines.

Step-by-step explanation:

To find the length of side a in triangle ABC, we can use the Law of Sines. The Law of Sines states that the ratio of a side length to the sine of its opposite angle is constant for all sides and angles in a triangle. In this case, we have side b = 620 cm, angle C = 106°, and angle A = 48°. We can set up the following proportion:

a / sin(A) = b / sin(B)

Substituting the given values, we get:

a / sin(48°) = 620 / sin(106°)

Solving for a, we find the length of side a to be approximately 719 cm (rounded to the nearest centimeter).

User Michael Schnerring
by
8.9k points