Final answer:
The area of the triangle is calculated using the base of 0.166 meters and a height of 0.930 meters, resulting in an area of 0.077145 square meters, which is rounded to 0.077 square meters when considering significant figures.
Step-by-step explanation:
To find the area of a triangle in square meters, given the base is 166 mm and its height is 930.0 mm, we need to first convert the millimeters to meters. Since 1 meter is equal to 1000 millimeters, 166 mm would be 0.166 meters and 930.0 mm would be 0.930 meters.
Now, we use the formula Area = ½×base×height. The area of the triangle is calculated using the base of 0.166 meters and a height of 0.930 meters, resulting in an area of 0.077145 square meters, which is rounded to 0.077 square meters when considering significant figures.
The area calculation is as follows: Area = ½ × 0.166 m × 0.930 m which equals to 0.077145 m². When expressing this to the correct number of significant figures, considering the least number of significant figures in the given measurements is two (from the base length, 166 mm), the area of the triangle is 0.077 m².