Final answer:
The area of a triangle with base 166 mm and height 930.0 mm is calculated by converting the dimensions to meters, applying the formula 1/2 × base × height, and expressing the area in square meters with the correct number of significant figures.
Step-by-step explanation:
The area of a triangle can be calculated using the formula 1/2 × base × height. To convert the measurements from millimeters to meters for area calculation in square meters, we can use the conversion factor 1 m = 1000 mm. After conversion, the product of the two dimensions can be expressed in square meters, ensuring the final answer is provided with the correct number of significant figures.
For a triangle with a base of 166 mm and a height of 930.0 mm, the area in square meters would be calculated as follows:
- First, convert the dimensions from millimeters to meters: Base = 166 mm / 1000 = 0.166 m; Height = 930.0 mm / 1000 = 0.930 m.
- Calculate the area using the formula: Area = 1/2 × 0.166 m × 0.930 m.
- Perform the calculation, which would result in the area to be expressed to the proper number of significant figures, considering that the measurement with the least number of decimal places dictates the number of significant figures in the result.