SOLUTION: How do you find the tangent segment AB when O to O' is 12, the radius for O is 5 and O' is 3 and B to O is 3?
PS I need it by today 10 PM
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Question 1066762: How do you find the tangent segment AB when O to O' is 12, the radius for O is 5 and O' is 3 and B to O is 3?
PS I need it by today 10 PM
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I hope you live in California, because it is past 11 PM on the East coast.
I am guessing what the meaning of yoir question is.
I think you are talking about a line tangent to two circles with centers 12 units apart,
with radius 5 and 3 units.
The circles, with a tangent line, the radii to the tangency points,
and the line going through both centers are drawn below.
I assume A and B are the tangency points,
and you want to find the distance between them.
In the drawing you see two similar right triangles.
The short legs measure 5, and 3 (the circles' radii).
Because the triangles are similar,
the ratio of hypotenuse to long leg is similar for both, so
--->--->--->---> ---> --->
Know that we know , we can use the Pythagorean theorem,
with the hypotenuse and short leg of both triangles to found the long legs.
For the small triangle:
-->-->-->--> .
For the large triangle:
-->-->-->-->--> .
So,
.
Did I guess right?
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