What is the height of a trapezoid with an area of 60 square meters and bases of 8m and 12 meters?
(8 + 12)/2 = 10
60 = 10h
6 = h
http://www.aaamath.com/geo78_x5.htm
To find the height of a trapezoid with known bases and area, you can use the formula:
Area = (1/2) * (base1 + base2) * height
In this case, the area is given as 60 square meters, and the bases are 8 meters and 12 meters. Plugging in these values into the formula, we can solve for the height:
60 = (1/2) * (8 + 12) * height
First, let's simplify the equation inside the parentheses:
60 = (1/2) * (20) * height
Now, multiply 20/2:
60 = 10 * height
Next, divide both sides of the equation by 10:
6 = height
Therefore, the height of the trapezoid is 6 meters.
To find the height of a trapezoid, we can use the formula for its area:
Area = (1/2) * (sum of the bases) * height
In this case, we know the area is 60 square meters, and the bases are 8 meters and 12 meters. Let's substitute these values into the formula:
60 = (1/2) * (8 + 12) * height
First, we simplify the sum of the bases:
60 = (1/2) * 20 * height
Next, we simplify further:
60 = 10 * height
To isolate the height, divide both sides of the equation by 10:
6 = height
Therefore, the height of the trapezoid is 6 meters.