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Draw a line segment of length βπ cm.

Answer:

We know that, \sqrt{8}=\sqrt{3^{2}-1^{2}}

Which relates to: Hypotenuse= \sqrt{\operatorname{side} 1^{2}+\operatorname{side} 2^{2}}[\text { Pythagoras theorem }]

HypotenuseΒ²-Side1Β² = Side2Β²

Hence, Considering Hypotenuse =3cm and Side 1 =1 cm,

We get a right angled triangle OAB such that:

β A=90Β°, OB=3cm and AB=1cm

"hello everyone welcome to lido learning
so we've got a question on the screen
draw a line segment of
length under root eight centimeter now
if you
see under root eight is an irrational
number so drawing an
irrational number the length with the
length of
under root eight centimeter is not easy
it doesn't seem easy
it is easy how we are going to solve it
is we first
understand the concept through a right
angle triangle
so this is the right angle triangle
and if you see the angle this is a 90
degree angle let's name it oh
another vertex says a and the other
other vertex
as d now in this
right angled triangle
we can have the length as
eight and one and
three so
you can understand from this concept
that under root eight can be written
as under root of 3 square
minus 1 square and with this information
and the right angle triangle that we
could create
using the pythagoras theorem
you can say that
the hypotenuse whole square is
equal to base whole square plus
length whole square so we can
easily relate it with hypotenuse whole
square is 3 square
base whole square is under root of 8
whole square
and length is 1 whole square
so if we can draw a right angle triangle
of this form
so we can get the length of under root 8
as ao so we can draw this
length of under root eight centimeter
which is mentioned in the question
through a right angle triangle and
therefore ao is
equal to under root eight which can be
drawn on a piece of paper using the
right angle triangle
so friends if you have any concerns
please write down below this video and
subscribe to the channel
thank you
"

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