Q. 15.0( 1 Vote )

# 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 = 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 = AB = 9.6 + 12

AB = 21.6

4) From eq (ii)  AC = AC = 13.8

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

AC = AE + EC

5.1 = AE + 2.55

AE = 2.55 Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Basic Proportionality Theorem42 mins  Quiz | Criterion of Similarity of Triangle45 mins  Champ Quiz | Thales Theorem49 mins  How to Ace Maths in NTSE 2020?36 mins  NCERT | Strong Your Basics of Triangles39 mins  RD Sharma | Imp. Qs From Triangles41 mins  R.D Sharma | Solve Exercise -4.2 and 4.3FREE Class  R.D Sharma | Solve Exercise-4.545 mins  NCERT | Basic Proportionality Theorem22 mins  RD Sharma | Imp Qs Discussion- Triangles43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 