Answer:
[tex]x=\frac{-9}{2}[/tex]
Step-by-step explanation:
We have to find the value of x from the given triangle.
By mid segment theroem which says the midpoint in a triangle of any two sides is parallel to the third side and half of the third side's length
Therefore, [tex]3x+4=\frac{1}{2}\cdot (4x-1)[/tex]
On multiplying the left hand side of the above equation by 2 from right hand side of the equation we will get:
[tex]2(3x+4)=4x-1[/tex]
[tex]\Rightarrow 6x+8=4x-1[/tex]
On simplification
[tex]\Rightarrow 2x=-9[/tex]
[tex]\Rightarrow x=\frac{-9}{2}[/tex]
