Question

E divides AB in the ratio 1:3 and also,F divides AC on the ratio 1:3 .EF =2.8cm , find BC

Answer 1

Step-by-step explanation:

Let AE= x and EB= 3x ,AF= y and FC= 3y

EF=2.8cm

AE+AF=2.8

X+Y=2.8

CF+FA+AE+EB=BC

=3y+y+x+3x=BC

=4y+4x=BC

=4(x+y)=BC

=4(2.8)=BC

=11.2cm=BC

ANS. 11.2

HOPE ITS HELPFUL

Answer 2

Given:

E divides AB in the ratio 1 : 3

F divides AC in the ratio 1 : 3

EF = 2.8cm

To Find:

BC

Solution:

Let AE be x, EB be 3x, AF be y and FC be 3y.

       EF = 2.8cm  (given)

  As it is given that E and F divides AB and AC in the ratio 1 : 3 respectively.

So, AE + AF = 2.8cm

      x + y = 2.8cm

Now,

  ⇒ CF + FA + AE + EB = BC

  ⇒ 3y + y + x + 3x = BC

  ⇒ 4y + 4x = BC

  ⇒ 4(x + y) = BC

  ⇒ 4 (2.8) = BC

  ⇒ 11.2 = BC

Therefore, the value of BC is 11.2cm.