What is the area of the largest triangle that can be inscribed in a semi circle of radius 'r'?

• Area of triangle = 1/2*base*height
  For the area to be maximum base*height must be maximum.
  So for a semi circle the max base can be its diameter=2*r
  and height can be equal to the radius r;
  hence area of max triangle that can be inscribed in a semi-circle is
  =>1/2*2*r*r=r^2
  ans r^2
• 10 years agoHelpfull: Yes(1) No(0)
• the perpendicular drawn to diameter of circle of radius may be the longest height
  of a triangle,
  so base of a triangle is the diameter 2r with the height of radius of circle r.
  therefore,area of that triangle=1/2*base*height.
  =1/2*2r*r.
  =r^2.so the height.
• 10 years agoHelpfull: Yes(0) No(0)