Final answer:
To calculate the area of a triangle, convert the measurements to meters and apply the area formula, 1/2 × base × height. Given measurements are first converted to 0.166 m and 0.930 m respectively. The area is then calculated as 0.0772 m² to three significant figures.
Step-by-step explanation:
To find the area of a triangle, we use the formula: area = 1/2 × base × height. Given that the base of the triangle is 166 mm and the height is 930 mm, we need to first convert the measurements into the same units. Since we are asked to find the area in square meters, we'll convert millimeters to meters before applying the formula. Remember that 1 meter = 1000 millimeters.
So, the base in meters is 166 mm ÷ 1000 = 0.166 m, and the height in meters is 930 mm ÷ 1000 = 0.930 m.
Now, applying the formula, we get:
area = 1/2 × 0.166 m × 0.930 m
area = 0.07719 m²
When considering significant figures, both the base and the height are given to three significant figures, so our final answer should also be expressed to three significant figures. Therefore, the area of the triangle is 0.0772 m².