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 Circle Tangent Question

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X is on circle O (O is the center) and Y on circle P (P is the center) such that line XY is tangent to both circles. Given that line OP = 40 and the radii of circles O and P are 31 and 7 respectively, find XY.

Sorry I cannot provide an image TvT

 Oct 26, 2020

2+0 Answers

 #1
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The length of  XY = sqrt [402 - (31 - 7)2]

 Oct 26, 2020
 #2
avatar+118687 
+1

draw it!

The only really important thing that you may not know is that

 

the tangent to a circle is perpendicular (at right angles) to the radius that it intersects with.

 Nov 1, 2020

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