28) In the A ABC, DE||BC, AD = 1,5 cm, BD = 3 cm and AE = 1 cm , then the
length of EC is
A) 2 cm
B) 8 cm
C) 12 cm
D) 16 cm
Answers
Answered by
1
answer
Correct option is
A
2
The given information is shown in the attached diagram.
DE∣∣BC
⟹∠ADE=∠ABC Corresponding angles
∠AED=∠ACB Corresponding angles
∠A is common to both the triangles.
∴ΔADE∼ΔABC by AAA similarity
⟹
AD
AB
=
AE
AC
AD
AB
−1=
AE
AC
−1
AD
BD
=
AE
CE
EC=1×
1.5
3
=2 cm
solution
Similar questions