Pythagoras' theorem in context

12 questions

1. Izzy writes down a correct Pythagoras' theorem equation for a triangle. Which of the three sides of this triangle is the hypotenuse?
2. Aisha rearranges a correct Pythagoras' theorem equation for a triangle. Which of these statements are correct?
3. Which of these are correct for this triangle?
4. What is the value of b, rounded to 2 d.p.? b=___.
5. The diagonals of this kite have been drawn on. The value of x is ___.
6. The diagonals of this kite have been drawn on. Which of these statements are correct.
7. On this football pitch, the goalkeeper (at point A) wants to kick the ball to a striker (at point E), however the goalkeeper's longest kick is 91 m. Which of these statements are correct?
8. A factory produces cylindrical saucepans whose maximum base length is 28 cm. What must the minimum integer height of the saucepan be (in cm) so it can fully submerge a spaghetti noodle.
9. An archer fires an arrow that travels 20 metres to hit a target that is 9 m above ground. The arrow then drops to the ground. The archer must walk ___ m (to 2 d.p.) to pick up the arrow.
10. An archer fires an arrow at a target 20 m away. The arrow drops 9 m to the ground. Jun uses Pythagoras' theorem to find how far the archer walks to collect the arrow. What assumptions does Jun make?
11. The captain (at C) passes the ball to the goalkeeper (at A), who then passes to the midfielder (at D), who then passes to a striker (at F). The total distance the ball travelled is ___m (to 2 d.p.).
12. Two bamboo sticks are placed on the diagonal of this kite to support it during high winds. The length of the vertical bamboo stick is ___ cm (to 2 d.p.).

License: OGL