Final answer:
The area of a triangle is found using the formula 1/2 × base × height. With a base of 166 mm and a height of 930.0 mm, the area is calculated to be 77200 mm² to three significant figures, which matches the base’s significant figures.
Step-by-step explanation:
To find the area of a triangle, you will use the formula: 1/2 × base × height. Given that the base is 166 mm and the height is 930.0 mm, first ensure that both dimensions are in the same units. Since they are both in millimeters (mm), you can proceed to calculate the area directly.
To express the answer to the proper number of significant figures, identify the number of significant figures in each measurement. The base has three significant figures (166), and the height has four significant figures (930.0). When multiplying or dividing, the number of significant figures in the answer should be the same as the smallest number of significant figures in any of the numbers being calculated with.
Calculate the area using the formula:
- Area = 1/2 × base × height
- Area = 1/2 × 166 mm × 930.0 mm
- Area = 1/2 × 154380 mm²
- Area = 77190 mm²
The answer, represented in significant figures, is 77200 mm², considering three significant figures from the base measurement.