To find the missing side length (x), we can set up a proportion between the corresponding sides of the two similar triangles.
In the big triangle, the side corresponding to 13 yards is x, while in the small triangle, the side corresponding to 13 yards is 3.25 yards.
So, we can set up the following proportion:
13 yards (big triangle) / x = 3.25 yards (small triangle) / 4.23 yards (small triangle)
Cross-multiplying, we get:
13 * 4.23 = x * 3.25
54.99 = 3.25x
Dividing both sides by 3.25, we find:
x = 54.99 / 3.25
x ≈ 16.92 yards
Therefore, the missing side length (x) in the two similar figures is approximately 16.92 yards.
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)
Responses
16.92 yards
1.05 yards
4 yards
9.99 yards
1 answer
1 answer