Question

Part J Using the formula for the area of a triangle, area = (base × height) / 2, write an expression for the area of SABC. Base your answer on the work you did in parts G through I. Show your work.

Answer 1

The area of a triangle with a base of 166 mm and a height of 930.0 mm is 0.0772 square meters when expressed with the appropriate significant figures, after converting the measurements from millimeters to meters.

Step-by-step explanation:

To calculate the area of a triangle with a base of 166 mm and a height of 930.0 mm using the formula area = (base × height) / 2, first convert the measurements to the same unit. Since we want the area in square meters, we convert millimeters to meters by dividing by 1000. Therefore, 166 mm is 0.166 meters and 930.0 mm is 0.930 meters. The area of the triangle in square meters will be (0.166 × 0.930) / 2.

Calculating this gives us an area of (0.15438 square meters) / 2, which equals 0.07719 square meters. However, we must consider significant figures. Since the base was given to three significant figures and the height to four, our answer should be reported to three significant figures because our final answer should be presented with the lowest number of significant figures from the measurements. Therefore, the area of the triangle is 0.0772 square meters to the proper number of significant figures.