Question

In a ∆ ABC, D and E are the midpoints of the sides AB and AC respectively. If AD = 3 cm, DE = 4 cm, EC = 5 cm, then what is the value of the side BC?​

Answer 1

Answer:

Step-by-step explanation:

Given : AD=4 cm,DB=(x−4) cm,AE=8 cm and EC=(3x−19) cm.  

To Find : x

We know that, by BPT(Basic proportionality theorem)

DB

AD

​

=

EC

AE

​

 

(x−4)

4

​

=

(3x−19)

8

​

4(3x−19)=8(x−4)

12x−76=8x−32

Solving, we get x=11 cm