Answer: The value of x =2 units.
Explanation:
Since we have given that
AD= CD
BE= EA
So, we get that D and E are the mid-points of AC and AB respectively.
So, by Mid- point theorem , which states that the line joining the two midpoints is parallel to third side and it is half in length of third side i.e.
[tex]DE=\frac{1}{2}BC[/tex]
So, we put the value of DE and BC ,
[tex]5x-3=\frac{1}{2}\times (x+12)\\\\2(5x-3)=x+12\\\\10x-6=x+12\\\\10x-x=12+6\\\\9x=18\\\\x=\frac{18}{9}=2[/tex]
Hence, the value of x =2 units.
