Final answer:
The area of a triangle with a base of 166 mm and a height of 930.0 mm is calculated by converting the measurements to meters and applying the formula ½ × base × height. The area is 0.0772 m² when expressed to the correct significant figures.
Step-by-step explanation:
The formula to find the area of a triangle is 1/2 × base × height. To answer the question involving the triangle with base 166 mm and height 930.0 mm, we convert the base and height to meters since the area is requested in square meters. 1 mm equals 0.001 meters, so the base in meters is 166 mm × 0.001 m/mm = 0.166 m, and the height in meters is 930.0 mm × 0.001 m/mm = 0.93 m. Now, we can use the formula to calculate the area:
Area = 1/2 × base × height
Area = 1/2 × 0.166 m × 0.93 m
Area = 0.07719 m²
Expressing this to the proper number of significant figures, based on the precision of the given measurements (three significant figures for the base and four for the height), the area is 0.0772 m².