how can we draw a nuber line?

Log in to add a comment

how can we draw a nuber line?

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

I suppose we can use the ruler, scale, protractor, compass...

there are possibly two ways.

*2² + 2² = 8 = (√8)² *

So construct a right angle triangle with two sides equal to 2 units, then the hypotenuse will be of √8 units.

Draw a long horizontal line AD. Draw a perpendicular AE at A. Bisect the angle DAE to draw the line AF which is at 45⁰ to AD. Now with compass measure 2 units and draw an arc with center A intersecting AF at B. So AB = 2 units.

Now with B as the center and with compass draw an arc cutting AD at C. So BC = 2 units. Thus*we get AC = √8 units - on the horizontal real line.*

======

*2nd way*

*3² - 1² = 8 = (√8)² *

construct a right angle triangle with a side = 1 unit, and the hypotenuse = 3 units, then the other side is √8 units.

Draw a long horizontal line AD. At point A, draw AE vertically at 90° to AD. Now with compass set = 1 unit, draw an arc with center A to cut AE at B. So AB = 1.

You may use the compass, protractor and ruler, right? Now, measure 3 units with the compass. Draw an arc with center as B, to cut AD at C. So AC = 3 units.*Thus BC = √8 units on the horizontal real number line.*

there are possibly two ways.

So construct a right angle triangle with two sides equal to 2 units, then the hypotenuse will be of √8 units.

Draw a long horizontal line AD. Draw a perpendicular AE at A. Bisect the angle DAE to draw the line AF which is at 45⁰ to AD. Now with compass measure 2 units and draw an arc with center A intersecting AF at B. So AB = 2 units.

Now with B as the center and with compass draw an arc cutting AD at C. So BC = 2 units. Thus

======

construct a right angle triangle with a side = 1 unit, and the hypotenuse = 3 units, then the other side is √8 units.

Draw a long horizontal line AD. At point A, draw AE vertically at 90° to AD. Now with compass set = 1 unit, draw an arc with center A to cut AE at B. So AB = 1.

You may use the compass, protractor and ruler, right? Now, measure 3 units with the compass. Draw an arc with center as B, to cut AD at C. So AC = 3 units.