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These are the Transum resources related to the statement: "Pupils should be taught to {know and apply the sine and cosine rules to find unknown lengths and angles}"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

- "
*Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118*" ... more^{o}. Find the length of BC. - "
*The angle marked \(x\) in the diagram below is obtuse. Find the value of \(x\)*" ... more - "
*A builder marks out three points A, B and C on the ground such that AB = 11m , AC = 15m and angle BAC = 124*" ... more^{o}. - "
*The diagram shows a circle of radius 8.6cm with points ABCD on the circumference of the circle.*" ... more - "
*In the diagram above (not drawn to scale), AB=12mm, BC=8mm and angle ABC=123*" ... more^{o} - "
*The Tamarack triathlon race consists of swimming, cycling and running. Competitors swim from A to B, then cycle from B to C and finally run from C back to A.*" ... more - "
*Christine owns a four sided piece of land shown in the diagram below as ABCD. The length of BC is 180 m, the length of CD is 70 m, the length of AD is 90 m, the size of angle BCD is 82° and the size of angle BAD is 102°. The diagram is not to scale*" ... more - "
*The diagram shows parallelogram ABCD in which AD = \(x\) cm, DE = 12 cm and angle ABC = 30°*" ... more - "
*In triangle ABC, AB = 7cm and AC = 9cm. The area of the triangle is 20cm*" ... more^{2}. - "
*ABC is a triangular car park on horizontal ground. The length of AB is 90m and the length of AC is 65m. The size of angle BCA is 68*" ... more^{o}. - "
*The diagram (not to scale) shows a quadrilateral made up of a number of triangles.*" ... more - "
*Calculate the length of the side marked \(x\).*" ... more - "
*News is spreading of Pokémon sightings in Greenleaf Park. There is a Bulbasaur (B)on a bearing of 063*" ... more^{o}from Ayden and a Charmeleon (C) on a bearing of 110^{o}from Ayden. - "
*In the diagram of triangle ABC (not to scale) D is a point on BC.*" ... more - "
*The diagram, not drawn to scale, shows a quadrilateral ABCD.*" ... more - "
*The diagram shows quadrilateral ABCD. Lengths are given in centimetres.*" ... more - "
*A drone flying test course is in the shape of a triangle, ABC, with AB = 400m , BC = 600m and angle ABC = 44*" ... more^{o}. The course starts and finishes at point A. - "
*Emma sails in a small dinghy from point A in a straight line to a buoy at point B. She is moving at an average speed of 19 km/h, for 6 minutes, on a bearing of 125°.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.