Find the length of X?

Smaller triangle on the right has 2in and 6.4in

Bigger version of the same triangle on the left has x and 9.6in.

How many inches?

To find the length of X, we can set up a proportion using the ratios of the corresponding sides of the two triangles.

The ratio of the corresponding sides can be written as:

(Length of X)/(Length of the smaller triangle side) = (Length of the bigger triangle side)/(Length of the smaller triangle side)

Substituting the given values, we have:

X / 2 = 9.6 / 6.4

Cross-multiplying, we get:

6.4*X = 2*9.6

Simplifying, we have:

6.4*X = 19.2

Dividing both sides by 6.4, we get:

X = 19.2 / 6.4

Simplifying further, we have:

X = 3

Therefore, the length of X is 3 inches.