Pythagorean Triplets - Square and Square Roots, Mathematics, CBSE Class 8 Video Lecture

he'll open this video unquestioned
Queiroz by 13 is brought to you by
example.com know of your exam so now
that we learned about the basics of
square we are going to talk about
another interesting concept of
Pythagorean triplets now the name might
be a little known to you by travelers
pyram we have learned about that right
okay let's not talk about that fertility
water pipe a volume triplet we get this
has a very close relationship with
Pythagoras theorem therefore it is named
the displaced triplet means it is a set
of three numbers so Pythagorean triplets
is a collection of three numbers such
that the sum of the squares of the two
numbers is equal to the square of the
third number let's take an example let
us suppose that you have three numbers
three four and five
so if these three numbers are such that
square of 3 and square of 4 if you do
their sum you get square of 5 if this
relationship will hold true then 3 4 5
is a Pythagorean triplets so any three
number checks that sum of the squares of
two numbers is equal to the square of
the third number if this relationship
holds true that means those three
numbers form a Pythagorean treated and
water the each number void beam which
means each number is called a member of
the Pythagorean triplets for example
here 3 is a member of the Pythagorean
triplets or is a member of the Biturbo
in business find is a member of this
cycle variance triplet so 3 4 5 form a
Pythagorean triplets
now let me tell you how is it related to
the fibrous pyram so let's quickly recap
the fibers
to the Pythagoras theorem holds true
only one tiny tangle tangle so if you
have a right angle Randall say ABC where
D is the perpendicular BC is the base on
which the perpendicular is drawn and 80
is the hypotony I put in you to that
side which is exactly opposite to the
right angle then as per the Pythagoras
theorem the square of the hypotenuse is
equal to the sum of the squares of
particulars and the base so do you find
any resemblance between the Pythagoras
theorem and this triplet concept yes
this we are talking about almost the
same thing so when we say 3 squared plus
4 squared is equal to 5 square it is one
who place your hypotenuse is 5 your
perpendicular and base and respectively
3 and code respectively so the test
buildings between Pythagoras theorem and
five ever into the place in conditions
while default to any three numbers we
satisfy the relationship of the
Pythagoras theorem those three numbers
are called Pythagorean triplets so let
us take another example let's say you
have three numbers 5 12 and 13 so do you
think that they are they formed by
Hibernian triplet let's check now
whenever you want to change if it
satisfies the relationship of Pythagoras
theorem what are you going to do is look
at the three numbers which is the
biggest number that is going to be your
hype attained
select in this case 13 is the biggest
number so in this is what you will do
you find the sum of the squares of the
other two numbers that is 5 and 12 to
find out Phi Square add it up to the
square of 12 square so you get 5,000 25
+ 2 n square is 144 so this is equal to
169 now you find out the square of this
biggest number that is 13 square so when
you find it out into this is also 169
therefore you see that 5 squared plus 12
squared is equal to 13 square so that
means that
forty-two in this case slow they form a
Pythagorean triplet so the moment we see
that 512 entering their form of - oil
increased triplet what we needed these
three can form the sides of a right
angle triangle that the hypotenuse is 13
and one of the sides like the page is 12
and the perpendicular side so we can
form a perpendicular right angle
triangle of discussion thank you
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