Math Is Fun Forum

basketballstar123

Member

Registered: 2016-08-10

Posts: 11

Geometry

Two circles are externally tangent at point $P$, as shown. Segment $\overline{CPD}$ is parallel to common external tangent $\overline{AB}$. Prove that the distance between the midpoints of $\overline{AB}$ and $\overline{CD}$ is $AB/2$.

Here is the diagram:  http://latex.artofproblemsolving.com/f/0/f/f0fccd0e6e157a2063fd2c451a6812eb1a4fa7f9.png

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Geometry

hi basketballstar123

Welcome to the forum.

This question has been posted before:

http://www.mathisfunforum.com/viewtopic.php?id=22435

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

basketballstar123

Member

Registered: 2016-08-10

Posts: 11

Re: Geometry

I don't understand that solution - I posted my questions at that thread