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SAI International School
CLASS - X
Mathematics
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CHAPTER-6: Triangless-3
HOME ASSIGNMENT-3
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SUBTOPIC :Area of Similar Triangless
2
6 c
6 c
8 c
8 c
n f
m
n f
, D
m
, D
E
=
=
m
E
gur
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i
45 c
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.
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f
‖
B
C
C
B
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1.In ΔABC shown in figure, DE ‖ BC. If BC = 8 cm, DE = 6 cm and area of ΔADE = 45 cmm ,
,
,
=
e
e
=
C
B
B
C
D
D
how
how
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B
B
r
r
Δ
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A
Δ
A
Δ
Δ
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n i
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a
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m
45 c
=
m
=
D
nd a
nd a
D
what is the area of ΔABC?
Ans.80 sq.cm
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64, w
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25 :
25 :
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64, w
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2. If the areas of two similar triangles are in ratio 25 : 64, write the ratio of their
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corresponding sides.
Ans.5/8
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3
,
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of
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of
m
m
ur
c
nd a
g
c
, E
, E
c
c
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e
e
a
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v
m
m
=
=
a
nd a
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F
F
4
4
a
n f
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n f
a
A
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a
C
Δ
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F
B
D
C
C
D
F
r
nd Δ
r
A
nd Δ
B
a
a
, B
, B
=
r
=
r
A
C
A
Δ
r
C
Δ
B
3.In the given figure, ΔABC and ΔDEF are similar, BC = 3 cm, EF = 4 cm and area of ΔABC
Δ
B
3
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l
a
a
,
2
ne
f
= 54 cm . Determine the area of ΔDEF..
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D
F
. D
Δ
E
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Ans.96 sq.cm
4.
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A
ABC is a triangle in which , BC = 12 cm and AC = 5 cm. Find the ratio
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5
c
=
C
of the areas of ANC and ABC..(Ans.25/144)
B
A
C
2
e
5.In fig5, , if the area of xyz is 32 cm , then find the area of the
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quadrilateral PYZQ.
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