# Perimeter of triangle abc is 72 & DEF as the midpoint find perimeter of triangle DEF

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DF = 1/2 BC (Mid-Point theorem) .......(1)

Similarly,

DE = 1/2 AC ......(2)

EF = 1/2 AB ......(3)

Perimeter of triangle ABC = AB + BC + AC

1/2 AB + 1/2 BC + 1/2 AC = 1/2 perimeter of triangle ABC

DE + DF + EF = 1/2 ABC = 36 ........(from 1,2 and 3)

DE + DF + EF = DEF = 36