Question

. In ▲ABC, D, E and F ar e t he midpoint of sides BC, CA and AB respect i vel y. I f AB=AC= 7.2 cm and BC = 6cm. Fi nd t he si des of ▲DEF.


answer me fast i will mark you ​

Answer 1

Answer:

Solution:

Given that:

D,E and F are mid-points of BC,CA and AB.

To Find:

ar(△ABC)

ar(△DEF)

=?

Solution:

Since, D,E and F are mid-points of BC,CA and AB.

or, BD=CD,AE=CE and AF=BF

E and F are mid-points of CA and AB.

FEDB is a llgm. (By midpoint theorem.)

∴ar(△DEF)=ar(△BFD)

Similarly,

ar(△DEF)=ar(△DEC)

ar(△DEC)=ar(△AFE)

∴ar(△DEF)=ar(△BFD)=ar(△DEC)=ar(△AFE)

Now,

ar(△ABC)=ar(△DEF)+ar(△BFD)+ar(△DEC)+ar(△AFE)

or, ar(△ABC)=4ar(△DEF)

ar(△ABC)

ar(△DEF)

=

4

1

solution