Pythagorean Theorem Word Problems Worksheets

Use Pythagoras’ Theorem to solve the following word problems (give your answers to the nearest hundredths or to 2 decimal places):

1) Carl walked 4 m west and 5 m south. Calculate how far he is from his starting point?
Distance = m

2) Martha’s house is 20 m long and 18 m wide. How long is the diagonal of the house?
Diagonal = m

3) A ladder is standing on horizontal ground and rests against a vertical wall. The ladder is 5.5 m long and its foot is 3 m from the wall. Calculate how far up the wall the ladder will reach. Give your answer correct to 2 decimal places.
Distance = m

4) Town A is 65 km due north of town B. Town C is 44 km due east of town B. Calculate the distance from town A to town C. Give your answer correct to 2 decimal places.
Distance = km