two identical circles

Geometry Level 1

Two identical circles of radius 3 3 are shown above. Line A X Y B AXYB connects the centers of the two circles. Line K L M N KLMN is drawn such that it is parallel to line A X Y B AXYB . Given that X Y = 1 XY=1 , find K L KL .


The answer is 5.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Marta Reece
Mar 21, 2018

Extend XA past A to the circle. Call the point C. C X = 2 × 3 − 1 = 5 , K L = C X = 5 CX=2\times3-1=5, KL=CX=\boxed5 .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

The problem would have been even better if decimal answers were allowed.

Marta Reece - 3 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...