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)
Responses
16.92 yards
16.92 yards
9.99 yards
9.99 yards
4 yards
4 yards
1.05 yards
The correct answer is 16.92 yards. We can set up the proportion:
(13 yards)/(x) = (3.25 yards)/(4.23 yards)
Cross multiplying gives us:
(13 yards)*(4.23 yards) = (x)*(3.25 yards)
Simplifying, we get:
55.29 = 3.25x
Dividing both sides by 3.25, we find:
x = 16.92 yards
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