The area of the top of a triangular corner desk must be at least 7 sq. ft. If the base of the triangular desk top needs to be four feet, what should the height be?
A = 1/2bh
7 = (1/2) * 4h
7 / (1/2) = 4h
7 * 2 = 4h
14/4 = h
? = h
7/2=h
3.1/2
3.5
To find the height of the triangular desk top, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
Given that the area must be at least 7 sq. ft. and the base is 4 feet, we can plug in these values into the formula:
7 = (1/2) * 4 * height
To isolate the height, we can multiply both sides of the equation by 2 and then divide by 4:
2 * 7 = height
Height = 14/4
Height = 3.5 feet
Therefore, the height of the triangular desk top should be 3.5 feet to have an area of at least 7 sq. ft.