MathDB

5

Part of 1998 Argentina National Olympiad

Problems(1)

right isosceles triangle with min area wanted inscribed in right isosceles

Source: 1998 Argentina OMA L3 p5

6/11/2020
Let ABCABC a right isosceles triangle with hypotenuse AB=2AB=\sqrt2 . Determine the positions of the points X,Y,ZX,Y,Z on the sides BC,CA,ABBC,CA,AB respectively so that the triangle XYZXYZ is isosceles, right, and with minimum area.
geometryright triangleisoscelesconstructioninscribedminimumarea of a triangle