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

Question

asked May 7, 2020 168k views

1 Answer

Itamar S · Answer 1 · 2020-05-12T10:41:20+0000

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:

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