D and E are points on the sides AB and AC of ∆ ABC and DE‖ BC . If AD = 1.5 cm , DB =
3cm and AE = 1 cm, find EC
Answers
Answered by
3
Answer:
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
Answered by
9
By using basic proportionality theorem,
AD/DB = AE/EC
1.5/3 = 1/x
3/1.5 = x
x = EC = 2
AC = AE + EC = 1 + 2 = 3 cm.
keep smiling
Similar questions