Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level55. Pythagoras Theorem1. Calculate the length of the unknown side in each of the following diagramsa) b) c) d)5cm5.2cm6cm5.5cm9cm7.3cm7.1cm4cm2. The diagram shows a rectangle ABCDwith CD = 42cm, and the triangle ADEwith AE = 10.5cm and DE = 14cm.EABCalculate the length of AC.3. In the diagram on the right, AOC and BODare diameters of a circle of radius 4.5cm.If DC = 7cm, calculate the lengths of BC and OE.D42cmAC4. A rhombus has diagonals measuring 10cm and8cm. Calculate the lengths of its sides.ED5. A window cleaner positions the base of his ladder 2metres from the bottom of a block of flats. He openshis ladder up to 4 metres to clean the first floorwindow and 6.5 metres to clean the second floorwindow. On both occasions the ladder just touchesthe window sill. Calculate the distance between thetwo window sills.B. OC6. A Radio mast AD is held in a vertical position by four wires, AF, AE, AC and AB. AF = ABand AE = AC. If AF = 50 metres, AE = 35 metres and AD = 25 metres, calculate the distanceCB.AFEDCB