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.
(1 point)
Responses
x = 4.5 m
x = 4.5 m
x = 18 m
x = 18 m
x = 8 m
x = 8 m
x = 2.25 m
x = 2.25 m
To find the missing side length x, we can set up a proportion between the vertical sides of the two triangles:
2/4 = x/9
Solving for x:
2 * 9 = 4 * x
18 = 4x
x = 18/4
x = 4.5 meters
Therefore, the missing side length is x = 4.5 meters.