Question

In the triangle ABC, AD is the Bisector of angle A and AB=10 cm, BD=5cm, CB=4cm, . The length of AC is
kindly solve this question​

Answer 1

Answer:

Step-byAD is the bisector of ∠BAC

and by Angle-Bisector theorem which states that

if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

∴  

DB

CD

​

=  

AB

AC

​

 

⟹  

BC−CD

CD

​

=  

10

6

​

 

⟹  

CD(  

CD

BC

​

−1)

CD

​

=  

10

6

​

 

⟹  

CD

BC

​

=  

6

10

​

+1

⟹  

CD

12

​

=  

9

16

​

 

CD=  

2

9

​

=4.5cm  

And BC−CD=DB

12−4.5=DB

DB=7.5cm-step explanation: