Question

The maximum area of a right triangle with hypotenuse h is

Answer 1

hlo,

A right angle triangle with fixed hypotenuse attains maximum area, when it is isosceles i.e. both height and base becomes equal so if hypotenuse if H, then by pythagorean theorem, Base2 + Height2 = H2 For maximum area both base and height should be equal, b2 + b2 = H2 b = sqrt(H2/2) .

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Answer 2

Answer:

h²/2 is the right answer