Q5 of 20 Page 13

Let me place on Number Line.

Let the point O represent 0 on the number line.


We place a point A on the number line such that OA = 1 units.


Now, we draw AB perpendicular to OA at point A such that AB = 1unit.


By Pythagoras’ Theorem, we know that,


OB2 = OA2 + AB2


OB2 = 1 + 1 = 2


OB = √2


Now, we draw BC perpendicular to OB at point B such that BC = 1unit.


Again, by Pythagoras’ Theorem, we know that,


OC2 = OB2 + BC2


OC2 = 2 + 1 = 3


OC = √3



Now, taking O as a centre and OC as the radius, an arc is drawn which intersects the number line at P.


OP = √3 units


Hence, Point P represents √3


More from this chapter

All 20 →