Dn
In Fig. 2.17, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii).
,
А
1.5 cm
D
A
1 cm
E
7.2 cm
1.8 cm
E
3 cm
B.
5.4 cm
B
С
(i)
C С
Answers
Answered by
11
Answer:
Given : DE∥BC in △ ABC,
Using Basic proportionality theorem,
∴
DB
AD
=
EC
AE
⇒
3
1.5
=
EC
1
⇒EC=
1.5
3
EC=3×
15
10
=2 cm
EC=2 cm.
(ii) In △ABC,DE∥BC (Given)
Using Basic proportionality theorem,
∴
DB
AD
=
EC
AE
⇒
7.2
AD
=
5.4
1.8
⇒AD=1.8×
5.4
7.2
=
10
18
×
10
72
×
54
10
=
10
24
⇒AD=2.4cm
So, AD=2.4 cm
Similar questions