The triangles below are similar figures. Use a proportion to find the length of x.
Two triangles of different sizes are shown.The two triangles point different directions from their shortest segments on the bottom.
On the larger triangle, the short bottom segment is labeled 6 and the left segment is labeled 16. The top angle is marked 25 degrees and the lower left angle is marked 120 degrees.
On the smaller triangle, the short bottom segment is labeled 5 and the right segment is labeled x. The top angle is marked 25 degrees and the lower right angle is marked 120 degrees.
(1 point)
Responses
10one-third
10 Image with alt text: one-third
13 one-third
13 Image with alt text: one-third
12
12
15
To find the length of x, we can set up a proportion using corresponding sides of the two similar triangles.
(16/6) = (x/5)
Cross multiply to solve for x:
6x = 16 * 5
6x = 80
x = 80 / 6
x = 13.33
Therefore, the length of x is approximately 13.33.