Sides of Similar Figures Quick Check
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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)
To find the missing side length (x), we can set up a proportion between the corresponding sides of the big and small triangles.
We know that the side corresponding to 13 yards in the big triangle measures 3.25 yards in the small triangle.
So we can set up the proportion:
(13 yards) / (x) = (3.25 yards) / (4.23 yards)
To solve for x, we can cross multiply:
13 yards * 4.23 yards = x * 3.25 yards
55.19 yards^2 = x * 3.25 yards
To isolate x, we can divide both sides by 3.25 yards:
x = 55.19 yards^2 / 3.25 yards
Simplifying:
x = 16.95 yards
Therefore, the missing side length (x) is 16.95 yards.