Question

ABC is atriangle .D is a point on AB such that AD=1/4AB and E is a point on AC such that AE =1/4AC .If DE=2cm then find B C
PLEASE its urgent ​

Answer 1

Step-by-step explanation:

Given that, in a ∆ABC,

D is a point on AB and AD=1/4AB

E is a point on AC and AE=1/4AC

DE=2cm

let F is midpoint of AB and G is a midpoint of AC

by midpoint theorem,In ∆AFG,D,E are mid points and AD=1/2AF

AE=1/2AG

If DE=2cm then FG =2×DE

=2×2

=4cm

Now,in∆ABC,F,G are midpoints of AB and AC respectively

if FG=4cm,BC=2×FG

BC=2×4

BC=8cm.

• Therefore,BC of ∆ABC=8cm

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