if each side of an equilateral triangle is 6cm then the radius of the circle inscribed in the equiletral triangle is

• Area of a triangle ABC = r * s
  where, r = inradius of triangle, s = (a+b+c)/2
  
  => √3/4 * 6^2 = r * (6+6+6)/2
  => 9√3 = r * 9
  => r = √3 cm
• 10 years agoHelpfull: Yes(7) No(0)
• ans: sqrt(3)
  
  Radius of incircle = 2A/P
  where A is the area of triangle
  and P perimeter of triangle
  
  Area of equilateral triangle ,A = sqrt(3)/4*a^2
  = sqrt(3)/4*36
  =9*sqrt(3)
  
  Perimeter of equilateral triangle = 3*a
  =18
  
  radius = 2A/P
  = 2*9*sqrt(3)/18
  =sqrt(3)
  
• 10 years agoHelpfull: Yes(6) No(0)
• Radius of the Circle is 2 cm.
  For Equilateral triangle, diagonal of triangle is equal to side of triangle.
  And center for inner circle is in 2:1 ratio of diagonal i.e. 4:2.
  So radius of circle is 2 cm.
  
• 10 years agoHelpfull: Yes(1) No(3)
• Radius of Circle is 2 cm.
  For, equilateral triangle,
  
• 10 years agoHelpfull: Yes(0) No(0)