Question

Determine the area of a triangle with (see picture below)

Answer 1

Answer: c. area ≈ 5 units²

Explanation:

Step 1: Use Law of Sines to find b:

`(sinC)/(c)=(sinB)/(b)\\\\\\(sin44.9)/(4)=(sin107.3)/(b)\\\\\\b=(4sin107.3)/(sin44.9)\\\\\\b=5.4`

Step 2: Use SAS formula to find the area of the triangle:

`Area = (1)/(2)bcsinA\\\\\\Area=(1)/(2)(5.4)(4)sin27.8\\\\\\Area = 5.05`