MathDB

1

Part of 2001 Singapore MO Open

Problems(1)

computational inside a parallelogram, orthocenter related

Source: Singapore Open Math Olympiad 2001 2nd Round p1 SMO

4/2/2020
In a parallelogram ABCDABCD, the perpendiculars from AA to BCBC and CDCD meet the line segments BCBC and CDCD at the points EE and FF respectively. Suppose AC=37AC = 37 cm and EF=35EF = 35 cm. Let HH be the orthocentre of △AEF\vartriangle AEF. Find the length of AHAH in cm. Show the steps in your calculations.
geometryparallelogramorthocenterperpendicular