Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with legs of length $a = 6$ and $b = 10$ . The sides of the rectangle are paraltel to the legs of the triangle: (Use symbolic notation and fractions where needed. Enter the values for the width and height of the rectangle as a comma separated list.) lengths of sides:

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Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with legs of length

a = 6

and

b = 10

. The sides of the rectangle are paraltel to the legs of the triangle: (Use symbolic notation and fractions where needed. Enter the values for the width and height of the rectangle as a comma separated list.) lengths of sides:

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