Question

The sides of the triangles are in the ratio of 2:√6:√3+1 prove that the angles of the triangle are 45° , 60° , 75°

Answer 1

Answer:

We know from sine Rule

sinπ

a

=

sinB

b

=

sinC

C

=2R

sin45

a=2

=

sin60

6

=

sin75

3

+1

=2R

2

1

2

=

2

3

3

=

2

2

3

+1

3

+1

=2R

2

2

=2

2

=2

2

=