Triangle lmn is congruent to triangle fgh, as shown. what is the length of side lm? units

From the given graph:
the length of GH = 7     ⇒ distance between the points (-3,-4) and (4,-4)
the length of FH = 4√2  ⇒distance between the points (4,-4) and (0,0)
the length of FG = 5      ⇒distance between the points (-3,-4) and (0,0)

∵ ΔLMN is congruent to ΔFGH ⇒⇒⇒ ΔLMN = ΔFGH
∴ corresponding parts of congruent triangles are congruent
∴ LM = FG = 5
   MN = GH = 7
   LN = FH = 4√2

So, the length of side LM is 5 Units