The formula for the area of a trapezoid is

A =
h(B + b)
2
.
The area of the trapezoid truss in the illustration is 72 square feet. Find the height of the truss shown below if the shorter base is the same as the height.

To find the height of the truss in the given illustration, we can use the formula for the area of a trapezoid:

A = (h * (B + b)) / 2

Where A is the area, h is the height, B is the longer base, and b is the shorter base.

In this case, we are given that the area of the trapezoid truss is 72 square feet, and the shorter base is equal to the height.

Let's substitute the given values into the formula:

72 = (h * ((B + h)) / 2

Since we are told that the shorter base is the same as the height, we can substitute b with h:

72 = (h * ((B + h) / 2))

To solve this equation and find the height, we need to know the value of the longer base (B). Without that information, it is not possible to calculate the height of the truss.

To find the height of the truss, we need to use the formula for the area of a trapezoid. In this case, the formula is given as:

A = (h * (B + b)) / 2

where A represents the area of the trapezoid, h is the height, B is the longer base, and b is the shorter base.

From the given information, we know that the area of the trapezoid truss is 72 square feet. Since the shorter base is the same as the height, we can represent the shorter base as "b" and the height as "h". Therefore, we have:

A = (h * (B + b)) / 2

Substituting the given values, we get:

72 = (h * (B + h)) / 2

Next, we can simplify the equation:

144 = h * (B + h)

Now, since the value of the longer base (B) is not given, we cannot determine the exact value of the height (h) without further information. However, we can use this equation to determine a relationship between the height and the longer base.

If you have any further information or measurements for the trapezoid truss, please provide them so we can proceed with solving for the height.