Question

D. E. F are the mid-points of the sides
B C , CA and AB respectively of
triangle ABC, IF АB =6 cm BC = 4.8 cm
and CA=5.6 cm
find the perimeter of triangle DEF​

Answer 1

Answer:

Step-by-step explanation:

Given,

AB=6 cm,BC=4.8 cm and CA=5.6 cm

D,E and F are the mid points of sides BC,CA and AB of △ABC

To find: The perimeter of △DEF

Given,

E and F are the midpoints of sides CA and AB

⇒AE=EC  and AF=FD

∴  

EC

AE

​  

=  

FB

AF

​  

 

⇒EF=  

2

1

​  

BC[ By mid point theorem ]

⇒EF=  

2

1

​  

×4.8=2.4 cm

Similarly,

DE=  

2

1

​  

AB=  

2

1

​  

×6=3 cm

FD=  

2

1

​  

AC=  

2

1

​  

×5.6=2.8 cm

∴  Perimeter of △DEF=DE+EF+FD

=3+2.4+2.8

=8.2 cm