The bases of a trapezoid are 10 and 12 and the nonparallel sides are 2 and 3. How far must each of the nonparallel sides be extended to form a triangle?

Answer 1

extend each of the 3 and 3 sides until they meet.
I see similar triangles.
Let the 3 unit side be extended by x units
then x/10 = (x+3)/12
12x = 10x + 30
2x = 30
x = 15

Do the same thing for the other side by letting that extension be y units
( I got y = 10)

Answer 2

But where do the extended sides meet each other?