In ΔABC, a line parallel to intersects and in D and E respectively. Fill in the blanks shown in the table :

Given, In ΔABC, a line parallel to intersects and in D and E respectively as shown in fig.

In ABC, a line parallel to BC intersects AB and AC in D and E respectively.

∴ ...... (i)

...... (ii)

…… (iii)

Also, AB = AD + DB and AC = AE + EC

1) AB = AD + DB

AB = 3.6 + 2.4

∴AB = 6

Now from eq (i)

AE =

AE = 2.7

But, AC = AE + EC

AC = 2.7 + 1.8 = 4.5

AC = 4.5

2) AC = AE + EC

4.2 = AE + 3.15

AE = 1.05

From eq (ii)

AD =

AD = 1.55

Then AB = AD + DB

∴ 6.2 = 1.55 + DB

DB = 4.65

3) AC = AE + EC

∴ AC = 6.4 + 8.0

AC = 14.4

∴ From eq (i)

AD =

AD = 9.6

AB = AD + DB

AB = 9.6 + 12

AB = 21.6

4) From eq (ii)

AC =

AC = 13.8

AB = AD + DB

18.4 = 7.2 + DB

DB = 18.4 – 7.2

DB = 11.2

Then, AC = AE + EC

∴ 13.8 = 5.4 + EC

EC = 8.4

5) From eq (iii)

AB =

AB = 6.8

AB = AD + DB

6.8 = AD + 3.4

AD = 3.4

AC = AE + EC

5.1 = AE + 2.55

AE = 2.55