maxima

Show that the right triangle of max area that can be inscribed in a circle is isosceles.

3 Answers

11
Devil ·

Let the angle contained bet base and hypoteneuse be x, so if the circum-circle's radii be 'r', then hypoteneuse BC=2r, A=90 deg....

AB=2rsinx, AC=2rcosx, area = r2sin2x, max when 2x=90, meaning x has to be 45 deg, thus triangle has to be isosceles...

1
sumit_kumar ·

not getting......plz show with a diagram

11
Devil ·

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