.Use a proportion to find the missing side length in the following similar figures.
Similar triangles are shown with the smaller of two triangles containing a vertical side labeled 2 meters and a horizontal side labeled 4 meters. The larger of the two triangles contains a vertical side labeled x and a horizontal side labeled 9 meters. The third sides of both triangles are not labeled.
x = 4.5 m
x = 18 m
x = 8 m
x = 2.25 m
To find the missing side length (x), we can set up a proportion using the corresponding side lengths of the similar triangles.
The proportion can be set up as:
2m / 4m = x / 9m
Cross-multiplying, we get:
2m * 9m = 4m * x
18m^2 = 4mx
Now, we can simplify the equation by dividing both sides by 4m:
18m^2 / 4m = x
4.5m = x
Therefore, the missing side length (x) is equal to 4.5 meters.