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.
(1 point)
To find the missing side length x in the big triangle, we can set up a proportion using the corresponding sides of the two triangles:
13 / x = 3.25 / 4.23
Cross multiply to solve for x:
13 * 4.23 = 3.25 * x
55.39 = 3.25x
Divide both sides by 3.25 to solve for x:
x = 55.39 / 3.25
x ≈ 17
Therefore, the missing side length x in the big triangle is approximately 17 yards.