Final answer:
Only formula C, Area = 0.5 * base * height, is correct for calculating the area of a triangle. Formulas A, B, and D do not accurately represent the area calculation for triangles, with A and B involving incorrect operations and D using an incorrect relationship between base and height.
Step-by-step explanation:
Based on the formula for the area of a triangle, the correct formula is C. Area = 0.5 * base * height. This is because the area of a triangle is calculated by taking half of the product of its base and height. The area of a triangle is expressed as A = 1/2 * b * h, where A represents the area, b is the base, and h is the height.
Formula A is incorrect because it suggests using double the product of the base and height, which is not how the area of a triangle is calculated. Formula B suggests the product of base and height without halving which applies to rectangles and not triangles. Formula D incorrectly uses division instead of the correct operation of multiplication.
To demonstrate the correct calculation, consider converting all measurements to meters when finding the area in square meters for a triangle with a base of 166 mm and a height of 930.0 mm. First, convert the dimensions to meters: 166 mm = 0.166 m and 930.0 mm = 0.930 m. Using the formula A = 0.5 * 0.166 m * 0.930 m, the area of the triangle would be A = 0.077145 m², expressed with the proper number of significant figures.