Final answer:
The formula for finding the area of a triangle is (1/2 x base x height). To find the area of a triangle, substitute the values of the base and height into the formula and simplify. Express the answer to the proper number of significant figures.
Step-by-step explanation:
The formula for finding the area of a triangle is (1/2 x base x height). To find the area of a triangle using this formula, you need to know the base and height of the triangle. In this case, the base is 166 mm and the height is 930.0 mm. To find the area, substitute these values into the formula:
Area = (1/2) x base x height = (1/2) x 166 mm x 930.0 mm
Next, calculate the product and simplify:
Area = 0.5 x 166 mm x 930.0 mm = 77235 mm²
Lastly, express the answer to the proper number of significant figures. Since the measurements were given to three significant figures, the answer should also be expressed to three significant figures:
Area = 77,200 mm² (rounded to three significant figures)