Find the length of x for the second triangle (The first triangle has a side that is 2 inches long, and the bottom is 6.4 inches long) and the second triangle has a bottom that is 9.6 inches long, and one of the sides is x

To find the length of the side of the second triangle (x), we can use the concept of similar triangles.

In the first triangle, let's label the side of 2 inches as "a" and the bottom of 6.4 inches as "b".

Now, in the second triangle, the side measured as "x" is in proportion with the corresponding side in the first triangle. The proportion can be set up as:

x/9.6 = a/6.4

Cross multiplying, we get:

9.6 * a = 6.4 * x

Simplifying, we have:

x = (9.6 * a) / 6.4

Since the value of "a" is given as 2 inches, we can substitute it into the equation:

x = (9.6 * 2) / 6.4

Calculating this expression, we find:

x = 3 inches

Therefore, the length of the side of the second triangle (x) is 3 inches.