1.

If (

Answer»

Answer:

3

Step-by-step explanation:

Correct option is

A

3

: (2+

3

)

Given, ratio of angles are 4:1:1

⇒4y+y+y=180

o

⇒y=30

o

∴∠A=120

o

,∠B=∠C=30

o

Thus, the ratio of LONGEST side to PERIMETER =

a+b+c

a

Let b=c=x⇒a

2

=b

2

+c

2

−2bccosA

⇒a

2

=2x

2

−2x

2

cosA=2x

2

(1−cosA)

⇒a

2

=4x

2

sin

2

2

A

⇒a=2xsin

2

A

⇒a=2xsin60

o

=

3X

Thus, required ratio is

a+b+c

a

=

x+x+

3x

3x

=

2+

3

3


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