MathDB

Moldova mo 2006, 10th grade

Source: Moldova MO 2006

March 21, 2006

trigonometryfunctioninequalitiesgeometry unsolvedgeometry

Problem Statement

Let

a,b

be the smaller sides of a right triangle. Let

c

be the hypothenuse and

h

be the altitude from the right angle. Fint the maximal value of

\frac{c+h}{a+b}