Pythagoras' theorem 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Further Resources This task is about using pythagoras' theorem to solve problems with right-angled triangles. Question 1Change answer a) A square piece of paper has sides of 22 cm. [Not drawn to scale] a) A square piece of paper has sides of 22 cm. [Not drawn to scale] How long would the diagonal line between the two corners be, shown by 'b'? cm Question 1Change answer b) In a yacht race it is 8 km from the start line to Buoy 1, and 7 km from Buoy 1 to Buoy 2. [Not drawn to scale] b) In a yacht race it is 8 km from the start line to Buoy 1, and 7 km from Buoy 1 to Buoy 2. [Not drawn to scale] How far would it be from Buoy 2 to the finish line, as shown by 'a'? Question 1Change answer c) The diagonal line on the flag of Papua New Guinea is 90 cm. The flag is 54 cm in height. [Not drawn to scale] c) The diagonal line on the flag of Papua New Guinea is 90 cm. The flag is 54 cm in height. [Not drawn to scale] How wide would the flag be, as shown by 'c'? cm Task administration: This task can be completed with pen and paper or online (with NO auto marking). Level: 5 Curriculum info: Maths, Geometry and Measurement, Shape Keywords: pythagoras theorem Description of task: Students use Pythagoras' theorem to find the unknown sides of right-angled triangles in three practical problems. Learning Progression FrameworksThis resource can provide evidence of learning associated with Geometric thinking, set 6 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y10 (09/1998) a) 31.11 [Accept 31-31.13] difficult b) 3.87 [Accept 3.8-4.0] difficult c) 72 very difficult Distance between people Working with Pythagoras Tracking sports professionals Kicking for goal Right angled triangle II
