Write a fortran program to compute the geometric information for a kite. The program should read the a, c and p lengths and compute the q length

you're going to have to explain those lengths a bit better than that.

yes

show

Sure! Here's a sample Fortran program that computes the length of q for a kite based on the given lengths a, c, and p:

```fortran
program KiteGeometry
implicit none

! Declare variables
real :: a, c, p, q

! Read lengths from user
print *, "Enter the length of side a: "
read *, a

print *, "Enter the length of side c: "
read *, c

print *, "Enter the length of side p: "
read *, p

! Compute length of q
q = sqrt((p/2)**2 - ((a-c)/2)**2)

! Display the result
print *, "The length of side q is: ", q

end program KiteGeometry
```

Explanation:

1. We start by declaring the variables `a`, `c`, `p`, and `q` as real numbers. The `implicit none` statement ensures that all variables are explicitly declared.
2. We prompt the user to enter the lengths of sides `a`, `c`, and `p`.
3. We read the input values from the user using the `read` statement.
4. The formula to compute the length of `q` for a kite is given by `q = sqrt((p/2)**2 - ((a-c)/2)**2)`. We assign the result of this computation to the variable `q`.
5. Finally, we display the computed length of `q` using the `print` statement.

To run this program, you need a Fortran compiler installed on your system. Compile and execute the program, and it will prompt you to enter the necessary lengths. After providing the input, the program will compute and display the result.