Question

How do I find x here?

Answer 1

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.