2 In triangle ABC, DE || BC and AD = 4cm, AB = 9cm AC = 13 5 - Maths - Pair of Linear Equations in Two Variables

Question

2 In triangle ABC, DE || BC and AD = 4cm, AB = 9cm AC = 13 5
cm
then the value of EC is
(a) 6 cm (b) 7 5 cm (c) 9 cm (d) none of these

Shining Star · Answer

In triangle ABC ,DE// BC
Therefore, By BPT
AD/DB=AE/EC (1)
But AD/AB=4/9 (2)
AB/AD=9/4 -------------(By Invertendo)
AB-AD/AD=9-4/4 -----------(By Dividendo)
BD/AD=5/4 --------(A-D-B)
AD/DB=4/5 -------(By Invertendo)
Similarly AE/EC=4/9 (From 1 and 2)
AE+EC/EC=4+9/9 ----------(By Componendo)
AC/EC=13/9 (A-E-C)
13 5/EC=13/9

2. In triangle ABC, DE || BC and AD = 4cm, AB = 9cm. AC = 13.5 cm then the value of EC is (a) 6 cm (b) 7.5 cm (c) 9 cm (d) none of these

2. In triangle ABC, DE || BC and AD = 4cm, AB = 9cm. AC = 13.5 cm

then the value of EC is

(a) 6 cm (b) 7.5 cm (c) 9 cm (d) none of these