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.

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.

mathstudent55 · Answer

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anonymous · Answer

i got the picture, i just dont know what todo after that :/

jim_thompson5910 · Answer

you were doing great mathstudent55, you had this set up

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and you found that z = 40