Pythagoras Word Problems

A ladder is 5 m long. How far from the base of a wall should it be placed if it is to reach 4 m up the wall?

• 9

• 3

• 4.5

• 2.5

Kelvin is building a gazebo and wants to brace each corner by placing a 10-inch wooden bracket diagonally as shown. How far below the corner should he fasten the bracket if he wants the distances from the corner to each end of the bracket to be equal? Approximate to the nearest tenth of an inch.

• 7.3

• 5.4

• 6.8

• 7.1

What is the maximum width of the mail slot?

• 25

• 31

• 22

• 20

A square based pyramid has a base with side lengths 5cm (AD) and sloping sides of length 13cm (AO). It has a vertex O and the midpoint of the base is at M vertically below O. Calculate the length of AC

• 7.07 cm

• 8.3 cm

• 7.17 cm

• 8.12 cm

Find the length of the rod, as shown, that will fit inside the cylinder. Give your answer correct to one decimal place.

• 1.6

• 2.4

• 2.9

• 3.0

Calculate the length of FH to two decimal places

• 10.77

• 11.77

• 10.78

• 11.76

Find h

• 35.60

• 35.00

• 35.71

• 61.03

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.