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10.For the cuboid shown in Fig. 16.3,

(i)What is the base of this cuboid?

(ii)What are the lateral faces of this cuboid?

(iii)Name one pair of opposite faces. How many pairs of opposite faces are there? Name them.

(iv)Name all the faces of this cuboid which have X as a vertex. Also, name those which have VW as a side

(v)Name the edges of this cuboid which meet at the vertex P. Also, name those faces which meet at thisvertex.

Answer:

(i)The base of this cuboid is UVWX

(ii)The lateral faces of this cuboid are UXSP, QVWR, SXWR and UVQP

(iii)One pair of opposite faces among the lateral faces of the base are PQVU and SXWR or UXSP and QVWR.We know that a cuboid has two pairs of opposite faces among the lateral faces of the base.

(iv)The faces of this cuboid which have vertex as X are UVWX, UXSP and SXWR.

We know that the faces having VW as a side are UVWX and QVWR

(v)The edges of this cuboid meeting at the vertex P are UP, PQ and PS.

We know that the faces which meet at this vertex P are PQRS, UPSX and PQVU

"hello student
welcome back to the lead without solving
session
and in today's session we are going to
discuss one more question
related to geometry all right
so first i am going to read the
statement of the question
on a common hypotenuse a b
okay this is the common hypotenuse db
two right triangles okay a
c b and a d
b are situated on the opposite sides
and we are going to prove that angle b
a z this is angle b
a c is equals to angle
b d c angle b d
c all right so let's
solve this question
so according to the given question
okay uh two right triangles are given
here
all right okay
that means
okay triangle
a c b
and triangle
abd a
b b okay are the two
two right triangle
right triangle
okay which is having the same hypotenuse
right
same hypotenuse
a b all right
okay and here we are going to prove
okay we are going to prove so
we are going to prove that angle
at the angle at a that means
angle bac is equals to
angle bd
c all right so as
we know that okay um triangle
a c b and a d b
are the right triangle here right and
which is having the same hypotenuse
okay that means
okay angle at c that is angle c
is equals to angle d
okay which is 90 degree
all right okay and that means
angle at c plus angle
at t is equals to 90 degree
plus 90 degree that is 180 degree right
okay and that's why
quadrilateral the given quadrilateral a
b c d
is a cyclic quadricep quadrilateral it
is a
cyclic quadrilateral
quadrilateral okay as
all the vertices are lying on the
circle and okay
the sum of sum of
opposite
angles
is equals to 180 degree all right
okay that means the given quadrilateral
abcd or it is abb
c
okay is a cyclic correlator all right
so okay
and again if you carefully observe that
okay
angle bac
angle b a
c and
angle
bdc angle
okay so both the angles
lie in a
same segment right in a same
segment okay
that is segment bc all right
okay both the angles are lying on a in a
same segment that is or in a
segment bc okay and
okay when the angles lie
on the same on the same segment the
angles are
equal right and that's why
okay we can say that angle
be a c is equals to
angle b d c
because okay both the angles
lie in same segment
same segment all right
okay that means okay angle bac
is equals to angle bdc has proven right
okay so that's why the statement has
fruits so it is henceforth
all right so that is all about today's
session
um if you are any doubt please leave
your comment below
and please subscribe to this channel
thanks for watching the video
bye
"

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