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Tangent Length Puzzle

A (not too hard) coffee time puzzle this week. Go grab a pencil, a cup of coffee, and dust off a little geometery.

To the left is a unit square.

A semi-circle is constructed inside the square with a diameter of one unit.

The yellow line starts at the top corner, and is tangent to the semi-circle.

What is the length of the yellow line?

Give yourself five minutes, then push the solution button to check your answer.


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