Answer:
Step-by-step explanation:
You know two sides of the triangle and the angle between them, so use the Law of Cosines to solve the triangle.
a² = √(b²+c² - 2bc·cosA)
= √(9²+7.8² - 2·9·7.8·cos(32°)
≅ 4.8
Then use Heron's formula to calculate the area.
semiperimeter s = 0.5×(a+b+c) ≅ 10.8
area = √(s-(s-a)(s-b)(s-c)) ≅ 18.6 square units
