Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
