Pythagoras theoremIB MYP Maths Standard: Mind map

Exam questions on Pythagoras theorem

1. A ladder $5$ m long leans against a vertical wall. The foot of the ladder is on level ground, $1.4$ m from the wall.
   With the foot $1.4$ m from the wall, the top of the ladder slips down $0.6$ m. Find how far the foot of the ladder moves away from the wall. Give your answer to $3$ significant figures.2 marks
2. A rectangular box measures $12$ cm long, $9$ cm wide and $8$ cm high.
   Find the length of the diagonal of one of the $12$ cm by $8$ cm faces. Give your answer to $3$ significant figures.2 marks
3. A rectangular football pitch is $100$ m long and $64$ m wide.
   Find the length of the diagonal of the pitch. Give your answer to $3$ significant figures.3 marks