Question
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 diagonal side labeled 14 centimeters and a horizontal side labeled 10 centimeters. The larger of the two triangles contains a diagonal side labeled x and a horizontal side labeled 22 centimeters. The third sides of both triangles are not labeled.
(1 point)
Responses
x = 28 cm
x = 28 cm
x = 30.8 cm
x = 30.8 cm
x = 6.4 cm
x = 6.4 cm
x = 19 cm
To find the missing side length x, we can set up a proportion using the two horizontal sides of the triangles:
10 / 22 = 14 / x
Cross multiply:
10x = 14 * 22
10x = 308
x = 30.8 cm
Therefore, the missing side length is x = 30.8 cm.
The correct response is:
x = 30.8 cm