Final answer:
To find the area of a triangle with a base of 1.007 m and height of 0.665 m, convert the measurements to centimeters and then use the area formula. After calculating, round the answer to three significant figures, resulting in an area of 3360 cm².
Step-by-step explanation:
When calculating the area of a triangle, the formula to use is area = 1/2 × base × height. Given that the base of the triangle is 1.007 m and its height is 0.665 m, we first need to convert the measurements from meters to centimeters since our final answer should be in square centimeters. We do this by using the conversion factor where 1 meter equals 100 centimeters. Therefore, the base in centimeters is 100.7 cm (1.007 m × 100 cm/m) and the height is 66.5 cm (0.665 m × 100 cm/m).
Next, we apply the formula to find the area: area = 1/2 × (100.7 cm) × (66.5 cm). Performing the multiplication gives us 3359.235 cm², which we then round to three significant figures due to the precision of the given measurements, resulting in an area of 3360 cm².
It's important to remember that conversions and answers should reflect the correct number of significant figures to maintain the precision of the measurements.