Final answer:
The height of the triangle cannot be determined with the given information.
Step-by-step explanation:
To find the height of a triangle, we can use the formula for the area of a triangle: 1/2 × base × height. In this case, the area is given as 40.0 cm². Let's substitute the given area into the formula: 40.0 cm² = 1/2 × base × height. Since the base is not specified, we can leave it as 'base'. To solve for the height, we can rearrange the formula: height = (2 × area) ÷ base.
height = (2 × 40.0 cm²) ÷ base
Since the base is not given, we cannot determine the exact value of the height. Therefore, the answer cannot be determined with the given information.