Final answer:
The height of a triangle with an area of 277.2 square inches and a base of 44 inches is 12.6 inches.
Step-by-step explanation:
The height of a triangle can be found using the formula for the area of a triangle, which is A = ⅓ × base × height. Given the area of the triangle as 277.2 square inches and the base as 44 inches, we can rearrange the formula to solve for the height:
277.2 = ⅓ × 44 × height
To find the height, we divide both sides of the equation by (⅓ × 44):
height = 277.2 / (⅓ × 44)
height = 277.2 / 22
height = 12.6 inches
Therefore, the height of the triangle is 12.6 inches.