Question

In ∆ABC, if angleADE =angle ABC as shown in figure then CE is what

Answer 1

Answer:

From given figure,

∠ADE=∠B

To prove: ΔADE∼ΔABC and

find DE

Given: AD=3.8cm, AE=3.6cm, BE=2.1cm and BC=4.2cm

Now, In ΔADE and ΔABC

∠ADE=∠B (given)

∠A=∠A (common)

ΔADE∼ΔABC (By AA)

Again,

AB

AD

=

BC

DE

AE+EB

AD

=

4.2

x

3.6+2.1

3.8

=

4.2

x

5.4

3.8

=

4.2

x

x=2.8

DE=2.8cm

solution