SOLUTION: An architect is making a floor plan for a rectangular gymnasium. If the gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners?

Question 1129400: An architect is making a floor plan for a rectangular gymnasium. If the gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An architect is making a floor plan for a rectangular gymnasium. If the gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners?
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Sketch a rectangle. Let the 2 short sides each be 60.
Let the 2 longer sides be 80.
Draw a diagonal connecting opposite corners.
You should then see two right angles.
Distance between opposite corners is the length of the diagonal.
Use Pythagoras to get::
Length = sqrt[60^2+80^2] = sqrt[10000] = 100 feet
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Cheers,
Stan H.
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