D, E and F are the mid-point of sides BC, CA and AB of a △ABC. If AB = 3 cm, BC = 4 cm and CA = 4 cm, then the perimeter of △DEF is
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Answered by
3
Answer:
Given perimeter of △ABC=12.8cm
⇒AB+BC+AC=12.8cm
DE=
2
1
AB,EF=
2
1
BC and DF=
2
1
AC
∴AB=2DE,BC=2EF,AC=2DF
As, D,E,F are the mid points of BC,AB and AC
∴ By mid point theorem, the equations are possible
⇒2DE+2EF+2DF=12.8cm
⇒DE+EF+DF=
2
12.8
=6.4cm
i.e, perimeter of △DEF=DE+EF+DF=6.4cm
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It's a shape of what triangle, quadrilateral,rectangle,square, trapezium, parallelogram,rhombus or what .....??
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