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3.3.2 Quiz: Impossible Problems from Antiquity
Question 3 of 10
Which of the following constructions were never accomplished by the Greeks
with only a straightedge and compass?
Check all that apply.
A. Tripling a square
B. Trisecting a line segment
C. Trisecting any angle
D. Doubling a cube
SUBMIT



Answer :

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Final answer:

Trisecting a line segment, Trisecting any angle, and Doubling a cube were constructions the Greeks couldn't achieve with a straightedge and compass.


Explanation:

Trisecting a line segment and Trisecting any angle were never accomplished by the Greeks with only a straightedge and compass. These constructions involve dividing an angle or segment into three equal parts, which is not achievable using the classical tools of straightedge and compass. On the other hand, Doubling a cube was also a problem the Greeks couldn't solve using only a straightedge and a compass.


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