What size is the table?

Geometry Level 3

A circular table is pushed up against a 90 degree corner so that it touches both walls a equal distance from the corner. I pick a point on the rim of the table that is exactly 18 units from one wall and 25 units from the perpenficular wall. What is the diameter of the table?

Choose the sum of all the possible values.

172 146 26 128 73

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1 solution

James Harlan
Mar 30, 2019

I used a right triangle whose hypotenuse was the radius (r) from the center of the circle to the point on the rim and one of the legs was r-18 and the other was r-25.

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