Final answer:
The area of ∆FGH is found using the formula involving two sides and the included angle, yielding an approximation of 1750.451 cm2, which is then rounded to 1750 cm2 to the nearest square centimeter.
Step-by-step explanation:
To find the area of ∆FGH with sides g = 67 cm, h = 57 cm and ∠F=120°, we use the formula for the area of a triangle given by: 1/2 × base × height. However, since the height is not given and cannot be directly found from the given sides and the angle, we must use the formula for the area of a triangle involving two sides and the included angle, which is: 1/2 × g × h × sin(F). Calculating this using the provided measurements, the area A is 1/2 × 67 cm × 57 cm × sin(120°). Since sin(120°) ≈ 0.866, the area A is approximately 1/2 × 67 × 57 × 0.866, which equals to 1750.451 cm2. After rounding to the nearest square centimeter, the area of ∆FGH is 1750 cm2.