Latest SELF Aptitude Question SOLUTION: What is the area of the largest triangle that can be inscribed in a semi circle of radius 'r'?

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(#M40033473) SELF Numerical Ability question Keep an EYE

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

Sanjana Patnaik (10 years ago)

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Vivek Jain  (10 years ago)

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

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nandish  (10 years ago)

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.

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