Sides of Similar Figures Quick Check

Question

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Question
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

1.05 yards
1.05 yards

9.99 yards
9.99 yards

16.92 yards
16.92 yards

4 yards
4 yards
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Answer 1

To find the missing side length (x) in the two similar figures, we can set up a proportion.

Since the side corresponding to 13 yards in the big triangle measures 3.25 yards in the small triangle, we can write the proportion as:

x/13 = 4.23/3.25

Now, we can cross multiply and solve for x:

3.25x = 13 * 4.23

3.25x = 54.99

x = 54.99 / 3.25

x ≈ 16.92 yards

Therefore, the missing side length (x) is approximately 16.92 yards.

The correct answer is:

16.92 yards