Final answer:
The area of a triangle is calculated using the formula 1/2 × base × height, with the SI unit being square meters (m²). For measurements given in millimeters, one must first convert them to meters and then calculate the area using the formula. The area of a triangle with a base of 166 mm and height of 930.0 mm, after conversion and calculation, is 0.0772 m².
Step-by-step explanation:
The formula for the area of a triangle is 1/2 × base × height. The SI units for area are square meters (m²). To calculate the area of a triangle in square meters when given measurements in millimeters (mm), you need to convert the base and height from millimeters to meters before applying the formula. Since 1 meter = 1000 millimeters, we can convert the dimensions and then calculate the area.
For the given dimensions, with a base of 166 mm and a height of 930.0 mm:
- Convert the base to meters: 166 mm ÷ 1000 = 0.166 m.
- Convert the height to meters: 930.0 mm ÷ 1000 = 0.930 m.
- Now apply the formula:
Area = 1/2 × (0.166 m) × (0.930 m) = 0.07719 m².
Expressed to the proper number of significant figures, based on the given dimensions, the area of the triangle is 0.0772 m².