In ΔABC, the mid-points of the sides AB, BC and CA are D, E and F respectively. If AB = 4 cm, BC = 5 cm and CA = 6 cm, find the perimeter of the ΔDEF.
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Answer:
7.5cm
Step-by-step explanation:
D, E and F are mid points of sides AB, BC and CA respectively.
Therefore, By applying Mid-point theorm we get DE, EF, DF.
FE||AB, DF||BC and DE||AC Hence by Mid point theorm
FE=1/2×AB
=1/2×4
=2cm
DF=1/2×BC
=1/2×5
=2.5cm
DE=1/2×AC
=1/2×6
=3cm
Perimeter of triangle DEF=2+2.5+3
=7.5cm
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