Question

By geometrical construction it is possible to divide a line segment in the ratio 2 + root 3 ratio 2- root 3.
True or False?????

Answer 1

Answer:

By geometrical construction,it is possible to divide a line segment in the ratio root3 : 1÷root3. state this as true or false - 11324991. ... to plus minus 1 by root 3 · numbers line. y=x+2.

Answer 2

The statement "It is possible to divide a line segment by geometrical construction in the ratio 2 + 3: 2 - 3   is false

Explanation:

Given:2 + √3 : 2 - √3

To find: whether the given ration is true or false

Ratio: 2 + √3 : 2 - √3

On further simplification we get ,

(2 + √3)/ (2 - √3)

Multiply and divide by (2 + √3)

Therefore we get,

= (2 + √3)/ (2 - √3) × (2 + √3)/(2 + √3)

By simplifying the above equation we get,

= (4 + 2√3 + 2√3 + 3)/ (4 - 3)

= (7 + 4√3)/ 1

(7 + 4√3) : 1

Here (7 + 4√3) is not a positive integer where 1 is a positive integer.

Therefore, the statement is false

Final answer:

The statement "It is possible to divide a line segment in the ratio 2 + 3: 2 - 3 via geometrical construction" is untrue.

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