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At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.

From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).

Rationale:

You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.

At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.

From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).

Rationale:

You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.

At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.

From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).

Rationale:

You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.

At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.

From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).

Rationale:

You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.

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11y ago

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