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A circular table is pushed into a corner of the room, where two walls meet at a right angle.  A point P on the edge of the table (as shown below) has a distance of 6 from one wall, and a distance of 6 from the other wall.  Find the radius of the table.

 Aug 6, 2024
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See image 

Find sqrt (72 ) using Pythag theorem 

 

then using Pythag theorem again:

 ( r+ sqrt(72) ^2  = r^2 + r^2 

r^2 - 2 sqrt(72) - 72 = 0                        Now use Quadratic Formula   with a = 1     b = -2 sqrt (72)    and   c = - 72

               to find r = 20.4853 units 

 Aug 6, 2024

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