Video transcript
"hello students welcome to lido q a video
session i am saf your match tutor and
question for today is
three girls reshma salma and mandip are
playing a game by standing on a circle
of radius 5 meter
drawn in the park reshma throws a ball
to salma
salma to mandeep and mandeep to preshma
if the distance between reishma and
salman between salma and mandip is 6
meter
each what is the distance between reshma
and mandip
so as given in the figure we will refer
the figure
let's solve it let the position of the
reshma
salma and mandib be represented by a
b c and
these are the positions of these three
girls
now as from the question we know that a
b is equal to bc is equal to 6
centimeter
it is given that distance between
reishma and salma
and between salma and mandip is 6 and 6
meter each so distance a b is equal to
bc is equal to 6
meter here
so the radius of the circle that is o a
will be equal to 5 meter because
the circle of radius it is given this is
the 5 meter
that is why here we can say that the
radius of the circle oh a is 5 meter
now let us draw a perpendicular bm which
is perpendicular to ac so bm
is perpendicular to ac
since a b is equal to bc now abc can be
considered as an isosceles triangle
so m is the midpoint of ac and bm is the
perpendicular bisector of
ac and thus it passes through the center
of the circle
so i can write here since a b is equal
to bc
now as this is an isosceles triangle m
is the midpoint of point ac
you can see that
and moreover in the figure bm is
perpendicular bisector of
ac and thus it passes through the center
of the circle
now from the figure let am is equal to y
and om is equal to x i'll take this on
next page
so bm bm
will be equal to phi minus x
radius is 5 meter hence bm will be equal
to phi minus
x
now by applying bythagoras theorem in
triangle om
we get oa square is equal to om square
plus am square
and thus by applying this pythagoras
theorem let us try to find the value of
unknowns
so phi square will be equal to
x square plus y square x and y are
unknowns
again by applying pythagoras theorem we
can conclude that
in triangle amb ab square is equal to bm
square plus km square
and hence a b is 6 so 6 square
is equal to 5 minus x whole square
plus y square let this be equation 1
and this be the equation 2
subtracting equation 1 from the equation
2
we will get
36 minus 25
is equal to 5 minus x whole square
minus x square minus y square
now solve this you will get the value of
x as x is equal to 7 upon
5
now substitute this value of x in
equation 1
to get the y so
let this be third point
so substitute three
result three
in 1 and hence you will get here
y square plus 49 by 25 is equal to 25
y square plus 49 upon 25
equal to 25 hence y square
comes out to be 25 minus 49 upon 25
hence value of y we can find it as
y is equal to 24 upon phi
thus from this we can say that ac is
equal to
2 into am that is 2 into y
and which is equal to 2 into 24 upon
5.
hence ac value is 9.6 meter
so we can say that the distance between
reishma and mandip is
9.6 meter
that is our final answer ac is equal to
9.6 meter
if you have any query you can drop it in
our comment section and subscribe to
lido for more such q a thank you for
watching
"