Question

c) In the given figure, 1 l m find x [3]
105​

Answer 1

Answer:

Step-by-step explanation:

In △ABC, we have

LM∣∣AB

∴    

LC

AL

​  

=  

MC

BM

​  

              [By Thaley's Theorem]  

         

⇒      

AC−AL

AL

​  

=  

BC−BM

BM

​  

 

⇒    

2x−(x−3)

x−3

​  

=  

(2x+3)−(x−2)

x−2

​  

 

⇒      

x+3

x−3

​  

=  

x+5

x−2

​  

 

⇒ (x−3)(x+5)=(x−2)(x+3)

⇒   x  

2

+2x−15=x  

2

+x−6

⇒ x=9