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
To find the missing side length (x), you can set up a proportion using the given measurements in the small triangle.
The proportion can be set up as follows:
13 yards / x = 3.25 yards / 4.23 yards
To solve for x, cross multiply:
4.23 yards * 13 yards = 3.25 yards * x
54.99 yards^2 = 3.25 yards * x
To isolate x, divide both sides of the equation by 3.25 yards:
54.99 yards^2 / 3.25 yards = x
Simplifying the left side of the equation:
16.915 yards = x
Therefore, the missing side length (x) in the two similar figures is approximately 16.915 yards.