The triangles shown are similar. Use the image to answer the question.
a triangle DEF with side DF labeled 13 and a second overlapping triangle GEH with side GH labeled 4 and EH labeled 8
Determine the length of side FE.
18
20
21
26
To find the length of side FE, we can set up a proportion using the given side lengths of the two triangles.
In triangle DEF, the ratio of side lengths is 13:4. In triangle GEH, the ratio of side lengths is 13:8.
Setting up the proportion:
13/4 = x/8
Cross multiplying:
4x = 104
Divide by 4:
x = 26
Therefore, the length of side FE is 26.
So, the correct answer is 26.