Applying Pythagoras' theorem in 3D

12 questions

1. The relationship between the hypotenuse and the two short sides on a right-angled triangle is known as ___' theorem.
2. Work out the the length of the hypotenuse, to 1 decimal place.
3. Work out the the length of the hypotenuse, to 1 decimal place.
4. Work out the length of the third side of the triangle, to 3 significant figures.
5. Work out the length of the third side of the triangle, to 3 significant figures.
6. A football pitch is 115 yards by 74 yards. What is the distance diagonally from one corner flag to the other? Give your answer to the nearest yard.
7. Which of these are right-angled triangles?
8. Given that DE = 6 cm and EH = 15 cm, what is the length of DH, to 1 decimal place?
9. Given that BG = 9 cm and GE = 7\sqrt{2} cm, what is the length of BE, to 1 decimal place?
10. If AF, FE and FH are known, which other length do we need, in order to calculate the volume of this cuboid?
11. Given that AF = 5 cm, FE = 12 cm and FH = 15 cm, work out the length of EH.
12. Given that AF = 5 cm, FE = 12 cm and FH = 15 cm, the volume of the cuboid ABCDEFGH is ___ \text{ cm}^3

License: OGL