Question

ABC is an equilateral triangle of side 6 cm. If a circle of radius 1 cm is moving inside and along the side of the triangle, then the locus of the centre of the circle is an equilateral triangle of side is:

$( 3 + \sqrt{3} )\: cm$
$(6 - 2 \sqrt{3} ) \: cm$
$4cm$
$5cm$

Answer 1

$6 - 2 \sqrt{ 3}$