well this problem can be easily solved by coordinate ..
just that let the angle be θ to horizontal
then length of hypotenuse
=
a/cosθ + b/sinθ
just differentiate it and apply maxima miinima
you will get the answer
A point on the hypotenuse of a right triangle is at a distance ‘a’ and ‘b’ from the sides of the triangle.The
minimum length of the hypotenuse is........................
well this problem can be easily solved by coordinate ..
just that let the angle be θ to horizontal
then length of hypotenuse
=
a/cosθ + b/sinθ
just differentiate it and apply maxima miinima
you will get the answer
i think this question came in board exam last year... in one of the sets ...