Question

Find the missing length.

ADEF~AVUT
D
140
37
50
U
E
60
168
T
F
DELL

Answer 1

seems you are giving me a diagram with a figure in which some side lengths are known, but one is missing. To find the missing length you need to use the ratios of corresponding sides in similar figures.

In this case, since ADEF~AVUT, the ratio of corresponding sides is:
DE/VT = 50/60 = 5/6

Therefore, since DE = 50, we can use the proportion to find VT:
VT = DE/DE/VT = DE*(VT/DE) = 50*(6/5) = 60

So the missing length is VT=60.