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
9.99 yards
9.99 yards
4 yards
4 yards
1.05 yards
1.05 yards
16.92 yards
To find the missing side length (x) in the two similar triangles, we can set up a proportion.
In the big triangle, the ratio of the side corresponding to x to the side corresponding to 13 yards is the same as the ratio in the small triangle, which is 4.23 yards to 3.25 yards.
So, we can set up the proportion:
x/13 = 4.23/3.25
To solve for x, we cross multiply:
3.25x = 13 * 4.23
Dividing both sides by 3.25:
x = (13 * 4.23) / 3.25
Using a calculator, we find:
x ≈ 16.92 yards
Therefore, the missing side length (x) in the two similar figures is approximately 16.92 yards.