Example Thales Theorem- 1 Video Lecture - Class 10

hello friends this video on triangles
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take some examples of this the person
says if a line intersects site a me in a
sea of triangle ACD had DNA respectively
and he is parent BCE and it's valid to
be seen that AV by ABS buddy even easy
let's take this figure this figure if
you see this is a triangle ABC line
intersects side AV and point D and he is
Lea probably and his palate we see that
is d e is Allen movies that means we can
apply this theorem you have to prove
that ad by AV is equal to in my easy so
let's assume this is X is y so X - mrs.
going by their theorem the concrete form
x by y is equal to x - y by text this is
the basic formulas we are asked to prove
that ad by Amy that is X by X plus y is
equal to a by AC that is X - 5 X -
elestra - see if I add 1 bullseye what
will become this alig of X plus y by y
but I want X by X plus 5 not Y by 2
square so when divide this cookie one by
my friend so I say Y by X is equal to Y
- - correct X by Y is good to exist
perhaps I can say if I fi x good - why -
by X both side I'll add 1 this becomes X
plus y by X y dash plus X plus my exit
again I divide the way I divided but
think of this we come of this this
becomes X my X plus y is equal to X - my
extension
and that's what we wear shackles you
know you are this is a big burn 80 by AV
super by easy very simple we have this
triangle DS palette we see a rod through
the code form of theorem X bar by is
going this far I - if you add one
directly here this becomes y by entering
this becomes X plus y my way but I am
looking for X by X 1 from way so I keep
our speaker of this is given by YX equal
to Y - bandage and then everyone one
each both side this becomes X plus y by
X into X dash plus y del by extension
thus the form is looking for they got
them and but let's take one example ABC
is a transition with a V pattern DC e
and f are points on non-balanced I of ad
and BC respectively so in fact Kiev is
valid way we prove that
Bailey's palette a by et is going to be
FX to this let's have this trilogy right
there's a try patient ABCD with a be
ballot buzu E and F are who finds the
non parallel sides of this is non
parallel points sites we took this point
a in F such that EF is palpable is so EF
is valid DC also it bothered me right
but he has valid evidence he has
priorities yoga we have to prove that a
by a 18 by each this equal to BN by FC
it's due Monday 80 by clean you see
right BN do only for tigers case really
if you join these two point should
become a triangle right let's join
spring then I join these two points
let's suppose a is going to X D D is
your do fine because we are looking for
a ey right if this is X you see in this
loop in this triangle abd triangle if
you see there's a person who ego is
valid being correct because EA this
valid way V that means e or that will be
this is pilot baby so we can apply the
instrument we come by - this becomes the
support exist
this view is y dash and will be a
success so I can say that Y by X is
equal to y dash by extension correct in
this case out if you see this triangle
this BCD or so Oh F is valid and easy
because EA the spiral DC so vapour
carbon so this becomes this f of X
Double Dash and this becomes my door -
so here we can say X - my y dash is
equal to X Double Dash by my double dash
well again here through by knowing this
because I am supposed to do that is by
VD that is X by Y is equal to DF by F
see there is X Double Dash by Y Double
Dash we have to prove this to prove this
I do this line because I knew fails film
is applied only for the case of triangle
I found the first equation by bags where
to buy - my extension right and second
equation XS for my desk will do this so
if you see right this I have to boom
this is already in the right it's a
correct so if I can find the value of
enters by by dressing in put this I'll
get something in this form so what I do
this equation leaves you so this we can
say X by Y is equal to X dash y dash
right Y by X when - why - back then so X
bar Y is going to echo somewhere -
correct finishing of X X Y the X here I
learned egg by Y so this equation
becomes X by Y we can do X Double Dash
by binding - and if you see that there
is something which we have to prove or I
can write we have a by e if e by D is
equal to DF by FC and that is my right
what I have done here if you see Y by X
is when divide as my expense first
equation because in this triangle a DB
the climbing a DVD Evo is valid behaving
seat is visible second thing is this
triangle VDC oh it is valid Daisy
sorry a theatre this is a proof X by Y
is good example right - and I saw that
this already came in my right hand side
then she come this I don't become an
income tax just in all the cushions
trying to follow the reverse engineering
what the question is asking as per the
cushion trying to solve and in this case
it was asked to prove X by Y is
buildings in my - so I did that
correctly will take up example of
calcium so it says that P s by s Q is
equal to say PS by s Q is equal to PD by
TI since P is bias Q is going to be T
when TR and angle PS T is equal to angle
b arky this this is like l1 and this is
less a good angle one - no both are
equal so I am NOT doing one depending on
so given angle what is going to be one -
this is given a light given first also
that suppose psi X s fuel y this is X -
and this is why - also PS is as X by s
cubed y equal to PT is X - and PR the Y
- X by X s 25 hours this also given now
let's start down
since this is given by tales from I can
see that st is parallel to QR why
because his X by Y is been doing this
with y - I can see there lies the
problem because this is only for the
parallel lines in the final correct now
st is parallel to Qi since SDS valid if
you and your PhD should be equal to
angle sp1 when the lines of value so let
me represent one double dash so you can
say that angle one is going to angle one
double - what because st is parallel to
QR so corresponding angles correspond
you is correct now we have two equation
1 equal to 1 - 1 equal to 1 Double Dash
so I can say that angle 1 equal to angle
1 - it is equal to angle 1 in Double
Dash correct all the jaegers are equal
cut to prove that p QR high school is
triangle if you can prove that these two
angles are equal that's more than upon
you if you see if you have proved that
angle 1 is equal to n - right with this
I can say that being our angle is also
very simple what we have done we were
supposed to even though the question
portion says because I saw this that
means you have to put this one to this
they already given his trigger to this
it can prove that this is equal to this
that means both are equal so to prove
this good book there is no one's go to
and ask you to prove that st was violent
to Q R and we have seen that by converse
of theorem we can prove that st spider
integer and that's what we have done and
does that push be upon the reverse
engineering correct to do one is going -
one - one - was already put two ones
weight of fluid one's going to one
double - do this we followed you to
suppose to prove that stos by that you
are
blue vegetable / euro you are we abused
divorce on cancer correct let us take an
example be is parallel to BC in this
example we have to find easy very simple
very simple application of here you see
D is valid way easy easy
this D is valid visa given so we can
apply here saaaam find easy so let's
suppose EC EC is s today s theorem say
is that a that is 1 by X is e C equal to
ad that is 1 point 5 by 3 correct is 1
by 2 because 1.5 L by D or X is very
simple very simple application or
theorem such kind of cushion are very
simple they will just apply Bayes
theorem it down here 1 by X is equal to
1 point 5 by 3 here theorem execute
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