L46 : Example and Summary - Triangles, Maths, Class 10 Video Lecture

hello friends this video on triangles
part 46 is brought to you by exam fear
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watching this video please make sure
that you have watched part 1 2 part 45 2
cards a B and C D intersect each other
point we will prove that triangle ABC is
similar to triangle BBB and also 18 DB
is little C playing so if you see that a
PC right this you see if we see this
angle is equal to this angle particular
perspective correct this is better
sorry this angle is pretty
listen and then it has to be equal to n
to D by part of circle the same point we
see any point on the pot is equal so
angle a will be equal to like them so
put the Tigers are similar you can say
that in triangle ABC and triangle if we
see angle D P B what you can opposite
angle angle C 8 B is equal to angle D D
V this one is from this angle right
angle on same odd from same point
therefore triangle 8 PCs petrifying it
TV that is done
r21 next part to since this triangle is
Center you can say that AP by P is equal
to PB by CP by E C the triangle is
similar because in that
this side if we by CPS ap by EC is equal
to D we buy in or we get in PE b is
equal to b being this one very simple
just yet if you let up time is up
singer will take last question two
chords avian CD of circle intersect each
other at my feet and put his outer
circle you have to prove that triangle
Dec single DD b and PA PB is equal to PC
if you take triangle PC a right here we
see and triangle being the TAC and P AV
b is equal to b by construction because
in both the triangles this former angle
and the steel will be equal to angle D
right if this is X since 180 minus ax
right because some of the angles
opposite angle for our circle is 1 and T
and this will be the maximum so we can
say that in triangle a T is C and
triangle P DV angle b is equal to angle
p by construction angle c a equal to
angle T V D right there for triangle is
similar to find el día de all who say
they are similar in a second part PE by
what everyone here by PC s pa by PC is
equal to believe it means we can buy
that EA by will take this side by piece
see this would be equal to VD by we
divide the side esteeming so what we get
is he hey in TV is equal to BC through
feeding and hence true correct
now let's go over the summary who
figures having same shape but not
necessarily same size are called similar
becomes all the common figures are
similar but the converse is not that
means similar figures are not common but
common figures are two polygons of same
number of sites are similar if their
corresponding sides are equal and their
corresponding angles are equal it's
cooperating angles are equal and
corresponding sides are proportional if
the line is drawn parallel to one side
of the triangle to intersect the other
two sides interesting point the other
two sides are divided in the same ratio
if a line divides any two sides of a
triangle in English in the third line is
parallel the the line is pilot 30 that
is if this in the triangle you have two
points here if this is line that divides
this sides into equal ratio then this
parallel also converse is true there is
a parallel line it divides in the same
ratio if into triangles corresponding
angles are equal then their
corresponding sides are in the same
ratio and here the triangles are similar
if we do triangles to either one
triangle two angles are respectively
equal then also they are similar by a a
severity because the third angle has to
be but also if in two triangles the
corresponding sides are proportional all
three sides there also they are similar
if one angle of the triangle is equal to
the angle and the two sides are
proportional that this they are two
triangle like this this angle is equal
to this angle and side one and side are
proportional then also they are similar
by SS criteria the ratio area of two
simple triangle is put in the square of
ratio of their corresponding sides you
know perpendicular is drawn from the
word to the right trying
the right right anger the right triangle
to the hypotenuse then the triangle on
both the sides of the perpendicular
similar the hold knife in a right
triangle the square of hybrid reduce
emulsifier of other two sides and that's
called my Taurus ramen in a triangle
square of one side is equal to some
house fire of other two sides then the
angle opposite the first time side is
right wing that this is the converse of
Pythagoras thank you visit exam viacom
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