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In a triangle ABC, AB=AC. Show that the altitude AD is median also.

Answer:

Solution

"hello students my name is rabbit singh
and i welcome you all
to lido learning homework one of india's
best online classes
now today in this video we have a
question that is based on the topic of
triangles question says in a triangle
abc
you can see we have make a triangle abc
let us label it darkly so this is abc
a b is equal to ac
so that the altitude ad is median also
this ad you can see here
this is altitude so we have to prove
like this is attitude as well as median
also median means
it will divide uh the opposite side bc
in two equal part that means bd
and dc so if you check in triangle a b
adb
this half of the triangle first and adc
second half of the triangle adc
a b is equal to ac that is already given
isosceles triangle
a d is equal to a d this side they are
common
both the sides and angle adb
a d b is equal to angle adc
since a d is the altitude so that means
90 degree that is already mentioned
so based on this we have
this is side this is side and this is
angle
so based on
s a s side angle side
criterion
triangle adb is congruent to triangle
adc now if they are congruent so that
means
bd is equal to dc and in that way d
becomes the midpoint of bc
and midpoint is what ad bisects bc so
that's why ad is the median
so i hope you have understood the
concept very clearly but still if you
have any doubt
do comment in the comment box and please
like and subscribe our channel for lido
thank you
"

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