An equilateral triangle is inscribed in a circle of radius 2 cm if P lies inside the triangle then the minimum sum of distances of P from the sides of the triangle is?

Ans) For the sum of distances to be minimum i think the distance to every side should be minimum...

Which means the point p should be the intersection point of the three altitudes..

As it is given an equilateral triangle so the point p will be the centre. . .

If you take a small triangle with two sides as the radius and the distance from the side.Then u get a relation

2 * sin 30 = Distance req

so d=1

so now the minimum sum = 1+1+1 =3