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Area of the largest triangle that can be inscribed in a semi-circle of radius r units is
  • a)
    r2, sq. units
  • b)
  • c)
    2r2 sq. units
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Area of the largest triangle that can be inscribed in a semi-circle of...
The largest triangle that can be inscribed in a semi circle of radius r units is 'an isoceles right triangle ' 
When we join the centre of the semicircle to the vertex of the triangle, it becomes the altitude of that triangle which is equal to the radius of the semi-circle. 
Area = 1/2 base x height 
= 1/2 x 2r x r 
= r^2 sq units
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Most Upvoted Answer
Area of the largest triangle that can be inscribed in a semi-circle of...
In a semicircle, the height of the triangle would be its radius = r
and the base would be its diameter = 2r
area of triangle =1/2 x b x h
1/2 x r x 2r
r^2
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