Question

In figure, DE || BC, AE = 3 cm, CE = 6 cm, AD = 4 cm, then find the
length of AB.​

Answer 1

Answer:

Step-by-step explanation:

ΔABC ~ ΔADE

⇒$\frac{AD}{AB} = \frac{AE}{AC}$

⇒$\frac{4}{AB} = \frac{3}{9}$

⇒$\frac{4}{AB} = \frac{1}{3}$

⇒AB = 4×3

⇒AB= 12

Answer 2

Answer:

AB=12CM

Step-by-step explanation:

Given: In triangle ABC

DE||BC

AE=3CM,CE=6CM AD=4CM

TO FIND: AB

SOLUTION: IN TRIANGLE ABC

DE||BC

1. AB=AD+BD

IN TRIANGLE ABC

DE||BC

BY B.P.T

AD/BD=AE/EC

4/BD=3/6

4/BD=1/2

BD=4×2

BD=8C

THEREFORE,

AB=AD+BD

AB=4+8

AB=12CM