When lines cross each other in a triangle from a point to the mid point of the opposite side as shown, AV is 2 times as long as VF
To solve for X we would have AV = 2*VF
The equation becomes:
3x+6 = 2(x+6)
Now we solve for X
3x+6 = 2(x+6)
Distribute the 2 on the right side:
3x + 6 = 2x +12
Subtract 2x from each side:
X +6 = 12
Subtract 6 from each side:
x = 6
Now if you needed to solve the length of AV or VF, you replace x with 6 and solve.