Final answer:
To find the height of a trapezoid using the area formula, we rearrange the formula by multiplying both sides by 2 and then dividing by the sum of the bases, resulting in the formula h = 2A / (b₁ + b₂), corresponding to option A.
Step-by-step explanation:
The question involves solving the formula for the area of a trapezoid to find the height (h). The original formula is given as A = 1/2(b₁ + b₂)h, where A stands for area, b₁ and b₂ are the lengths of the two bases, and h is the height of the trapezoid. To solve for the height (h), we manipulate the formula as follows:
- Multiply both sides by 2 to get rid of the fraction: 2A = (b₁ + b₂)h.
- Divide both sides by (b₁ + b₂) to isolate the height on one side: h = 2A / (b₁ + b₂).
Therefore, the correct option for the height of the trapezoid is h = 2A / (b₁ + b₂), which corresponds to option A.