Final answer:
The area of a triangle with a base of 166 mm and a height of 930.0 mm is 0.0772 m² when expressed to three significant figures after converting the measurements from millimeters to meters.
Step-by-step explanation:
The question involves using the formula for the area of a triangle, which is ½ × base × height.
To find the area of a triangle in square meters with a base of 166 mm and a height of 930.0 mm, we first need to express both measurements in meters. Since 1000 mm is equal to 1 meter, we have:
- Base = 166 mm = 0.166 m
- Height = 930 mm = 0.930 m
Then we apply the formula:
Area = ½ × 0.166 m × 0.930 m
Area = ½ × 0.15438 m²
Area = 0.07719 m²
To express the answer to the proper number of significant figures, we should round it to three significant figures because both the base and height measurements were given to three significant figures. Hence, the area of the triangle is 0.0772 m².