Use a proportion to find the length of the missing side 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.
x = 28 cm
x = 30.8 cm
x = 6.4 cm
x = 19 cm
To find the length of the missing side, we can set up a proportion using the corresponding sides of the similar triangles.
Let the length of the missing side in the smaller triangle be y.
We can set up the proportion:
(14 cm) / (10 cm) = y / (22 cm)
Cross multiplying, we have:
(14 cm)(22 cm) = (10 cm)(y)
308 cm^2 = 10 cm * y
Dividing both sides by 10 cm, we have:
30.8 cm = y
Therefore, the length of the missing side in the smaller triangle is 30.8 cm.
So, the correct answer is x = 30.8 cm.