Final answer:
Without additional details on triangle ABC's measurements, we can't determine the length of side AC. For the area of a triangle question, using the provided measurements and converting to square centimeters, the calculated area is 3347 cm², considering significant figures.
Step-by-step explanation:
To determine the length of AC in triangle ABC, we need additional information such as the measurements of the triangle's sides or angles, or a specific theorem or formula that could be applied. For example, if we know the lengths of the other two sides and one of the angles, we might use the Law of Cosines. Similarly, if we have the length of one side and the two adjacent angles, we could use the Law of Sines. Since the question does not provide any of these details, we cannot accurately calculate the length of AC or select an answer from the options given.
Regarding the question about the area of a triangle, the formula to calculate the area is 1/2 × base × height. Using the measurements provided, the area of a triangle with a base of 1.007 m and height of 0.665 m can be calculated as follows:
Area = 1/2 × 1.007 m × 0.665 m = 0.3346855 m²
Converting to square centimeters (1 m² = 10,000 cm²) gives:
Area = 0.3346855 m² × 10,000 cm²/m² = 3346.855 cm²
However, we must express our answer to the proper number of significant figures. The given measurements have four significant figures, so our final answer should also have four significant figures:
Area = 3347 cm²