Question

In , DE BC.

If DB = 9, AD = 6, EC = 12

then find AE​

Answer 1

Step-by-step explanation:

AD=6,AB=AD+DB=6+9=15⟹

AB

AD

=

15

6

=

5

2

AE=8,AC=AE+EC=8+12=20⟹

AC

AE

=

20

8

=

5

2

⇒

AB

AD

=

AC

AE

,∠DAE=∠BAC(common angle)

As sides are proportional and an angle is equal

⇒△ABC∼△ADE

∴∠ABC=∠ADE=48

∘