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Question

In a ΔABC,D,E and F are respectively, the mid-points of BC, CA and AB. If the lengths of side AB, BC and CA are 7cm, 8cm and 9 cm, respectively, find the perimeter of ΔDEF.


Solution

In ΔABC,D,E and F are the mid -points of sides, BC, CA , AB respectively

AB = 7cm, BC = 8cm and CA = 9cm

D and E are the mid points of BC and CA

DE || AB and DE = 12AB=12×7=3.5cm

Similarly,

EF=12BC=12×8=4cm

and FD=12AC=12×9=4.5cm

Perimeter of ΔDEF,

=3.5 + 4+4.5 = 12 cm

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