circle P and circle Q are externally tangent. AB is common external tangent if the radius of the circle P and Q are 8cm. And 12cm respectively. Find the length of the tangent segments AB.
Solution
Draw two circles P and Q with radii 8 cm and 12 cm respectively with tangent AB.
There are length AB=a
So, we have only radii of the circles, options of the contact can be:
There are length AB=b
There are length AB=c
That is, as we see the length of the segment AB can be different and it independent of the radius circle. There are no further conditions.
Answer
No decision, as few conditions.