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Byju's Answer
Standard X
Mathematics
Relation between Area and Sides of Similar Triangles
D and E are...
Question
D
and
E
are points on the sides
A
B
and
A
C
respectively of a
Δ
A
B
C
such that
D
E
|
|
B
C
. if
A
D
A
B
=
8
15
and
E
C
=
3.5
c
m
, find
A
E
.
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Solution
Given :
A
D
A
B
=
8
15
and
E
C
=
3.5
c
m
Find
A
E
By BPT:
A
D
A
B
=
A
E
A
C
8
15
=
A
E
(
A
E
+
E
C
)
=
A
E
(
A
E
+
3.5
)
8
(
A
E
+
3.5
)
=
15
A
E
7
A
E
=
28
or
A
E
=
4
c
m
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0
Similar questions
Q.
D and E are points on the sides AB and AC, respectively, of a
∆
A
B
C
, such that
D
E
∥
B
C
.
(i) If AD = 3.6 cm, AB = 10 cm and AE = 4.5 cm, find EC and AC.
(ii) If AB = 13.3 cm, AC = 11.9 cm and EC = 5.1 cm, find AD.
(iii) If
A
D
D
B
=
4
7
and
A
C
=
6
.
6
c
m
,
find AE.
(iv) If
A
D
A
B
=
8
15
and
E
C
=
3
.
5
c
m
,
find AE.