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Pythagoras In 3D Shapes.

H. G. E. 16cm. F. D. C. 12cm. 28cm. A. B. Pythagoras In 3D Shapes. AG 2 = L 2 + B 2 + H 2. H. G. E. 16cm. F. D. C. 12cm. C. 28cm. A. B. 12. A. 28. Finding The Length Of A Space Diagonal. Look at the cuboid below:.

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Pythagoras In 3D Shapes.

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  1. H G E 16cm F D C 12cm 28cm A B Pythagoras In 3D Shapes. AG 2 = L 2 + B 2 + H 2

  2. H G E 16cm F D C 12cm C 28cm A B 12 A 28 Finding The Length Of A Space Diagonal. Look at the cuboid below: It is our task to calculate the length of the space diagonal AG which runs through the space inside the cuboid. • Start by considering the triangle ABC. (2) Calculate the length of AC. AC = 30.5cm or  928

  3. H G E 16cm F G D 16 C A 12cm 30.5cm 30.5 28cm A B Now look at the cuboid again. (3) Now consider triangle ACG. (4) Calculate the length of AG. AG = 34.4cm

  4. (1) (2) 23cm 12m 17cm 3m 26cm 4m What Goes In The Box ? Calculate the lengths of the space diagonals in the cuboids below: 13m Answer: Answer: 38.7cm

  5. E 28cm D C C F 7 7cm B A 12cm B A 12 Pythagoras & Pyramids. Consider the rectangular based pyramid below: 28cm is the slant height EC. Our task is to find the vertical height EF as shown. (1) Consider the triangle ABC. (2) Calculate the length of AC. AC = 13.9cm

  6. E E 28cm 28cm 13.9cm F D C F 6.95cm C 7cm 12cm B A Half of AC. Now look at the pyramid again: (3) Now consider triangle EFC. (4) Calculate the length of EF. EF = 27.1cm

  7. (2) (1) E E 12.9 m 7m F F 3.2m 9.8 m D D 14.6 m C C 6.3m Length EC. Length EF . B B A A What Goes In The Box ? 2 Calculate the length of the required line below: Answer: 7.8m Answer: 9.4m

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