Final answer:
The area of a triangle with a base of 166 mm and height of 930.0 mm is calculated by converting measurements to meters and using the formula for area, which results in an area of 0.0771 m² when rounded to three significant figures.
Step-by-step explanation:
To find the area of a triangle, you can use the formula 1/2 × base × height. Given a base of 166 mm and a height of 930.0 mm, we first need to convert these measurements to meters to find the area in square meters. Since 1 mm is equal to 0.001 m, we convert 166 mm to 0.166 m and 930.0 mm to 0.930 m. Next, we calculate the area as follows:
Area = 1/2 × base × height
Area = 1/2 × 0.166 m × 0.930 m
Area = 0.077145 m²
When considering significant figures, the base has three significant figures and the height has four; therefore, our answer should reflect three significant figures, which gives us an area of 0.0771 m².