Find the missing length. The triangles are similar.

When the triangles are similar to each other, the value of EF = 126.
Similar triangles are those with the same form but different sizes.
For example:
If ΔABC is similar to ΔDEF
Then AB / DE = BC / EF
ΔUET is similar to ΔGEF (given)
UE / GE = ET / FE
UE = GE - GU
UE = 140 - 90
UE = 50
As UE / GE = ET / FE
50 / 140 = 45 / EF
5 / 14 = 45 / EF
EF = (45 * 14) / 5
EF = 126
Hence, if the two triangles are similar then the value of side EF = 126
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