Use the image to answer the question.
An illustration shows two triangles, one big and one small. In the big triangle, one side measures 13 yards and another side measures x. In the small triangle, the side corresponding to 13 yards in the big triangle measures 3.25 yards and the side corresponding to x measures 4.23 yards.
Use proportions to find the missing side length ( x ) in the two similar figures.
To find the missing side length (x), we can set up a proportion between the corresponding sides of the big and small triangles.
The proportion can be set up as follows:
(13 yards / x) = (3.25 yards / 4.23 yards)
To solve for x, we can cross-multiply and then divide.
13 yards * 4.23 yards = 3.25 yards * x
54.99 = 3.25x
Dividing both sides by 3.25:
x = 54.99 / 3.25
x ≈ 16.918
Therefore, the missing side length (x) in the two similar figures is approximately 16.918 yards.