Question

Points E and F are midpoints of seg AB and

seg AC of ∆ABC respectively EF = 5.6, then find

the length of BC.​

Answer 1

Answer: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

Step-by-step explanation: