Question

In the fig., ∠ABC = 900 and ∠ACB = 600 then AB : BC : CA =​

Answer 1

Step-by-step explanation:

Correct option is A)

In △ABC

tan60

o

=

BC

AB

3

=

BC

AB

AB=

3

BC

Let BC=x, then AB=

3

x

In △ABD,

tan30

o

=

BD

AB

3

1

=

BD

AB

BD=AB

3

BC+CD=BD=AB

3

x+40=x

3

(

3

)

x+40=3x

x=20

Thus, AB=20

3

=34.64 cm

Hence the statement is true and the correct answer to be entered is 1.