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Circle O and circle P, with radii 3 and 5, respectively, are both tangent to line L at H. Enter all possible lengths of line OP separated by commas.

IneedHALP Mar 3, 2019

#1**+1 **

Have you tried drawing it?

It seems to me that both circles are on the same side of the line or

They are on opposite sides of the line.

SO I think there is only 2 possible lengths of OP. You can sketch the diagram and find these 2 lengths all by yourself.

You can let me/us know how you get on or you can ask questions if you like. :)

**PLEASE NO ONE ANSWER OVER ME.**

Melody Mar 3, 2019

#3**+1 **

Hi IneedHALP,

Thanks for interacting with me :)

There is one when they are both on the SAME side of the tangent.

and there is one when the are on OPPOSITE sides of the tangent.

**draw IT ! AND you will see.**

Do you know what all the words mean? Like tangent and radius?

1) Draw the tangent first. (That is just a line)

2) Now put the point H on it.

**You need two pics. When when the circles are both on the same side.**

and on opposite sides

**draw it and work out haw far apart the centres are.**

Note: a tangen is a line that only just touches the circle. It only makes contact in one place.

Melody Mar 3, 2019