Final answer:
The area of the triangle is 0.077055 m^2.
Step-by-step explanation:
The formula for the area of a triangle is 1/2 × base × height. To find the area, we need to multiply the base by the height and then divide by 2. Let's use the given measurements: base = 166 mm and height = 930.0 mm.
Area = (1/2) × (166 mm) × (930.0 mm)
Solving this equation, we get the area of the triangle to be 77,055.0 mm^2. However, the question asks for the answer to be expressed in square meters, so we need to convert the area from mm^2 to m^2.
1 m = 1000 mm, so 1 m^2 = (1000 mm) × (1000 mm) = 1,000,000 mm^2
Therefore, the area of the triangle is 0.077055 m^2 (rounded to the proper number of significant figures).