Which of these constructions is impossible using only a compass and straightedge?A.Trisecting a right angleB.Doubling the squareC.Bisecting any angleD.Doubling the cube
Question
Which of these constructions is impossible using only a compass and straightedge?A.Trisecting a right angleB.Doubling the squareC.Bisecting any angleD.Doubling the cube
Solution
D. Doubling the cube
This construction is impossible using only a compass and straightedge. This problem is also known as the Delian problem. The ancient Greeks proved that it cannot be done with a finite number of steps using only these tools. The reason is that the cube root of 2, which is needed to double a cube, cannot be constructed with a compass and straightedge.
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