For such that , what is the minimum value of the expression above?
Find the number of isosceles triangles with integer sides when no side exceeds 1994. Include equilateral triangles in your count.
In a right angled triangle, and denote the lenghts of the medians that belong to the legs of the triangle, and the length of the median belonging to the hypotenuse is . Find the maximum value of the expression , the answer is of the form and so find .
Given constants , consider the set of points such that
What is the area of this region ?
If the maximum value of the function above can be expressed as , find the value of .