Question

Two circles with radii 25 and 16 are tangent externally. The two common external tangents intersect the larger circle at A and B and the smaller circle at C and D. The common internal tangent intersects the external tangents at E and F. Find EF.

Answer 1

do you have a diagram? or can you draw it out?

Answer 2

i dont have a diagram and i tried to draw it out but this problem makes no sense to me..

Answer 3

agreed i can't visualize the internal/external tangents
hmm if 2 circles are tangent to each other, it would only be at 1 point ?

Answer 4

yeah

Answer 5

well i believe so

Answer 6

This?