Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?Check all that apply.A.Tripling a squareB.Bisecting any angleC.Trisecting any angleD.Doubling a cubeSUBMITarrow_backPREVIOUS
Question
Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?Check all that apply.A.Tripling a squareB.Bisecting any angleC.Trisecting any angleD.Doubling a cubeSUBMITarrow_backPREVIOUS
Solution 1
The constructions that were never accomplished by the Greeks with only a straightedge and compass are:
A. Tripling a square C. Trisecting any angle D. Doubling a cube
These tasks are known as the three classical problems of antiquity, and they were proven to be impossible to solve using only a straightedge and compass.
Solution 2
The constructions that were never accomplished by the Greeks with only a straightedge and compass are:
A. Tripling a square C. Trisecting any angle D. Doubling a cube
These tasks are known as the three classical problems of antiquity, and it was proven that they cannot be solved using only a straightedge and compass.
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