MathDB

10

Part of 2009 Hanoi Open Mathematics Competitions

Problems(2)

computational with altitudes and midpoints (2009 HOMC Junior Q10)

Source:

7/18/2019
Let ABCABC be an acute-angled triangle with AB=4AB =4 and CDCD be the altitude through CC with CD=3CD = 3. Find the distance between the midpoints of ADAD and BCBC
geometryaltitudes
d^2+(a-b)^2<c^2 where d is diameter of incricle (HOMC 2009 Q10)

Source:

7/25/2019
Prove that d2+(a−b)2<c2d^2+(a-b)^2<c^2 ,where dd is diameter of the inscribed circle of △ABC\vartriangle ABC
geometryinequalitiesgeometric inequality