Determine the height of a trapezoid in centimeters if the bases of the trapezoid are 16.0 centimeters and 17.0 centimeters. The area is 297 cm2.
To find the height of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (base1 + base2) * height
We know that the area is 297 cm^2, base1 is 16.0 cm, and base2 is 17.0 cm. Let's substitute these values into the formula and solve for the height:
297 = (1/2) * (16 + 17) * height
297 = (1/2) * 33 * height
297 = 16.5 * height
Divide both sides of the equation by 16.5:
height = 297 / 16.5
height ≈ 18 cm
Therefore, the height of the trapezoid is approximately 18 centimeters.