Final answer:
To find the area of a triangle, use the formula 1/2 × base × height. The area must be expressed in the correct number of significant figures, taking into account the precision of the measurements given. Comparing areas of different shapes may involve ratios or proportions.
Step-by-step explanation:
To find the area of a triangle, you can use the formula: Area = 1/2 × base × height. For example, if a triangle has a base of 166 mm and a height of 930.0 mm, you calculate the area by plugging these values into the formula:
Area = 1/2 × 166 mm × 930.0 mm
Area = 0.5 × 166 mm × 930 mm
Area = 77,190 mm²
Since the base and height are given with three significant figures and two significant figures respectively, the area should be expressed to the proper number of significant figures. In this case, that would be two significant figures, making the area 77,000 mm² when rounded correctly.
Comparing areas, such as calculating the ratio of two squares' areas, involves a simple division. Likewise, proportions can be used to compare lengths, widths, or areas of different spaces, after establishing a scale.