Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level58. Areas of TrianglesIn questions 1 to 5 calculate the areas of these triangles1. In triangle ABC, ∠ABC= 61° , AB = 6cm and BC = 8cm.2. In triangle XYZ, ∠XYZ= 77° , XY = 8.5cm and YZ = 13cm.3. In triangle CDE, ∠CDE= 110° , CD = 5.6cm and DE = 8.5cm.4. In triangle PQR, ∠PQR= 119° , PQ = 7.2cm and QR = 8.7cm.5. In triangle RST, ∠RST= 47.7° , RS = 22.3cm and ST = 16cm.6. In the diagram below both AB and AC are equal to 9cm. Show that the area of triangle ACDis equal to the area of triangle ABD.BC20° 20°AD7. By calculating the area of triangle ADC, calculate the area of the parallelogram ABCD.AB5cmD65°11cmC8.A patchwork bed cover is to be made from 300 pieces ofAfabric cut into the shape of the triangle shown. Calculatethe area of the bed cover, in square metres, correct to one12cmdecimal place.B60°15cmC9.A regular pentagon lies inside a circle of diameter 20cmwith its vertices touching the circle. Calculate the areaof the pentagon.10.A field is in the shape of a triangle. Calculateits area in hectares, correct to 1 decimal place.(10,000 sq. metres is equal to 1 hectare)307m57°265metres