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A rectangle is inscribed in a isosceles triangle with base 1 unit and height h units.what should be the height of the triangle,so that it has minimum area?

A rectangle is inscribed in a isosceles triangle with base 1 unit and height h units.what should be the height of the triangle,so that it has minimum area?

Grade:12

1 Answers

sudhir pal
askIITians Faculty 26 Points
8 years ago
probably you got a wrong statement as in any case of isosceles triangle you can choose the dimension of rectangle so that it has minimum area even tending 0 so you must ask for max area
solving question for max area.
attaching pic of the solution
so max area is = h/4

Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi
153-1907_Photo1813.jpg

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