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Byju's Answer
Standard VIII
Mathematics
Area of Irregular Shapes Using Graphical Method
In a triangle...
Question
In a triangle ABC, X, Y and Z are points on AB, BC and CA such that AXYZ is a rhombus. Show that the area of the rhombus AXYZ<_1/2 Area of the triangle ABC.
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Q.
A rhombus is inscribed in triangle ABC in such a way that one of its vertices is A and two its sides lie along AB and AC where AC
=
6
, AB
=
12
and BC
=
8
the side of the rhombus is?
Q.
Rhombus
P
Q
R
B
is inscribed in
△
ABC such that
∠
B is one of its angle.
P
,
Q
and
R
lie on
A
B
,
A
C
and
B
C
respectively. If
A
B
=
12
cm and
B
C
=
6
cm find the sides of rhombus
P
Q
R
B
.
Q.
Rhombus
P
Q
R
B
is inscribed in
△
A
B
C
such that
∠
B
is one of the its angle,
P
,
Q
and
R
lie on
A
B
,
A
C
and
B
C
respectively. If
A
B
=
12
cm
and
B
C
=
6
cm
find the sides of rhombus
P
Q
R
B
.
Q.
In the figure sides
A
B
,
B
C
,
C
A
of
△
A
B
C
are produced upto points
R
,
F
,
P
respectively such that
A
B
=
B
R
,
B
C
=
C
P
,
C
A
=
A
F
Prove that :
A
(
△
P
E
R
)
=
7
A
(
△
A
B
C
)
Q.
If in a triangle ABC,
B
C
=
5
,
C
A
=
4
,
A
B
=
3
and D, E are points on BC such that
B
D
=
D
E
=
E
C
,
∠
C
A
E
=
θ
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