Answer:
47.7 square units
Explanation:
It is important to know that,
The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)
In the question above, we are given the following values:
Where : a = 8, b = 12, θ = C = 84°
Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.