We know that the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.
[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h h=the <span>altitude of the equilateral triangle-----> 5.196 in so </span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196 [distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in
the radius is equal to the distance of the centroid of the triangle to one of the vertices hence the radius is 3.5 in
