We can set up a proportion using the corresponding side lengths of the two triangles:
13 yards / x yards = 3.25 yards / 4.23 yards
Cross multiplying:
(13 yards)(4.23 yards) = (3.25 yards)(x yards)
54.99 yards = 3.25x yards
Dividing both sides by 3.25:
x yards = 54.99 yards / 3.25
Simplifying:
x yards ≈ 16.92 yards
So the missing side length, x, is approximately 16.92 yards.
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
4 yards
4 yards
16.92 yards
16.92 yards
9.99 yards
9.99 yards
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1 answer