Question

in triangle ABC, D and E are the midpoint of AB and AC respectively and FE||BA=12cm prove that (1) F is midpoint of BC. 2)if DE=12cm and AD=18cm . find the value of DB and BF​

Answer 1

Step-by-step explanation:

Given: AB = 12cm, AD =8cm, AB = 12cm and AC = 18cm

To Prove: DE∥BC

in ∆ABC,

DB

AD

=

AB−AD

AD

=

12−8

8

=2

And AEAC=

AC−EC

AE

=

18−12

12

=2

Then,

DB

AD

=

EC

AE

Basic Proportionality theorem which states that

if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same ratio.

Hence, DE∥BC

[by converse of basic

proportionality theorem]

Hence, Proved.

Answer 2

Answer:

घटफतघजढरचठीखजज्ञ

578.8

:*-₹

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