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Question: If distance between incentre & one of the excentre of equilateral triangle is 4 unit. Then inradius ...

If distance between incentre & one of the excentre of equilateral triangle is 4 unit. Then inradius of triangle is

A

2 unit

B

1 unit

C

32\sqrt { \frac { 3 } { 2 } }unit

D

12\frac { 1 } { 2 }unit

Answer

1 unit

Explanation

Solution

Q 4R sin= 4

̃ R = 2

\ R = 2r = 2

̃ r = 1