Work out the missing angle Calculate the perimeter Connect 25 o 17cm 15cm 48 o 10cm xcm 65 o x o 8cm 7cm 55 o 3D Pythagoras Unit 13 Objective 13j Show me what you can do ID: 1012646
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1. Work out the missing length:Work out the missing angle:Calculate the perimeter:Connect25o17cm15cm48o10cmxcm65oxo8cm7cm55o
2. 3D PythagorasUnit 13 – Objective 13j
3. Show me what you can do!
4. On your mini whiteboards answer each question as it appears
5. Q1 - Find the length of the side labelled x5cm12cmx13cm
6. Q2 - Find the length of the side labelled xx14cm10cm9.8cm (1d.p.)
7. Q3 - Find the length of the side labelled xx6mm9mm10.8cm(1.d.p)
8. Q3 - Find the length of the side labelled xx1mm1mm1mm1mm2cm
9. Let’s step it up...
10. Problems in 3DA Spider casts its first piece of web from the corner of the ceiling in a classroom, diagonally across to the opposite corner on the floor. 16m10m8m
11. Problems in 3DA Spider casts its first piece of web from the corner of the ceiling in a classroom, diagonally across to the opposite corner on the floor. 16m10m8m
12. Problems in 3DHow long is this first piece of web?16m10m?8m
13. Problems in 3DHow long is this first piece of web?10m16m??8m
14. Problems in 3DHow long is this first piece of web?10m16m?8m?
15. Problems in 3DHow long is this first piece of web?10m16m??8m
16. Problems in 3DHow long is this first piece of web?10m16m??8m
17. Problems in 3DHow long is this first piece of web?16m10m?x = 18.86796mx2 =102 + 162x2 = 100 + 256x2 = 356
18. Problems in 3DHow long is this first piece of web?10m16m18.86796?8m
19. Problems in 3DHow long is this first piece of web??8m18.86796x = 20.49390mx2 =18.867962 + 82x2 = 356 + 64x2 = 420
20. Problems in 3DHow long is this first piece of web?20.49m
21. The Big QuestionMy pencil case is in the shape of a cuboid. It measures 8cm, by 7cm by 5cm.I want to put my new pencil into the pencil case. The pencil measures 12cm. Does it fit?
22. The longest diagonal in a cuboidWhat is the length of the longest diagonal in a cuboid measuring 5 cm by 7 cm by 8 cm?Before we can find the length of CE, we need to find the length of AC.We can do this by applying Pythagoras’ Theorem to triangle ABC. (the red triangle)a2 + b2 = c27 cm5 cm8 cmABCDEFGH52 + 72 = AC274= AC2 AC = 8.6
23. I want to put my new pencil into the pencil case. The pencil measures 12cm. Does it fit? We now know that AC = 8.6cm 7 cm5 cm8 cmABCDEFGH8.6 cmEAC8cm8.6cm?cma2 + b2 = c282 + 8.62 = EC2c = 11.7cm So yes, it fits!
24. Find the length of DFBAD4cm9cm42 + 92 = BD2BD = 9.8cmFBD9.8cm4cm42 + 9.82 = FD2FD = 10.6cm
25. Your task: Apply Pythagoras' theorem to find the missing length of each 3-D shape. Give your answers to one decimal place where necessary.
26. 10.8cm 10cm 8.5cm9.8510.6cm5.838.4cm7.07/2 = 3.53554.9cm
27. Demonstrate