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4' wide by 4' tall How long would the angle be to connect the two on a right triangle

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The corners would be 45 degree angles since the 2 sides (assuming they connect to form a 90 degree angle). Since 180-90=90 and te 2 sides are the same, you would divide 90 by 2 which equals 45 degrees. Therefor you would have two 45 degree angles.

Terence, I need some help understanding what you mean. Angles are measured in degrees or radians; they don't have a length. Do you want to know the length of the 3rd side of a right triangle which has the other 2 sides as 4' and 4'?