Question

in a right angled triangle abc , angle b is equal to 90. if ab divide by ac is equal to 1 divide by root 2 find bc divide by ac​

Answer 1

Answer:

AB : AC = 1 :

2

⇒

AC

AB

=

2

1

∴ AB = x and AC =

2

x, for some x.

By Pythagoras theorem, we have

AC

2

=AB

2

+BC

2

⇒(

2

x)

2

=x

2

+BC

2

⇒BC

2

=2x

2

−x

2

=x

2

⇒BC=x

∴tanA=

AB

BC

=

x

x

=1

we have,

1+tan

2

A

tanA

=

1+1

2

1

=

2

1