SOLUTION: Prove that if two circles are tangent externally, tangents to the circles from a point on their common internal tangent are equal in length. I need help with this proof please.

Question 717747: Prove that if two circles are tangent externally, tangents to the circles
from a point on their common internal tangent are equal in length. I need help with this proof please.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let BA be the common tangent to the circles.
Let BP be the tangent to circle I
and BT be the tangent to the circle II.
BP & BA are tangents to circle I. so they are equal. ( tangent drawn from an external points to the same circle are equal.)
Similarly BT = BA
Therefore BA = BP

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