Measurements of Similar Figures Quick Check
1 of 51 of 5 Items
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
4 yards
4 yards
9.99 yards
9.99 yards
16.92 yards
16.92 yards
1.05 yards
To find the missing side length (x), you can set up a proportion using the corresponding sides of the two triangles:
13/x = 3.25/4.23
Cross-multiply and solve for x:
13 * 4.23 = 3.25 * x
x = (13 * 4.23) / 3.25
Using a calculator, we find that x ≈ 16.92 yards.
Therefore, the correct answer is:
16.92 yards