Pythagoras Theorem Quiz for GCSE

A right-angled triangle has one length measuring 3 metres and the other length measuring 4 metres. What is the length of the hypotenuse?

• 5 metres

• 6 metres

• 7 metres

• 8 metres

In a right-angled triangle, the hypotenuse is 13 feet and one length is 5 feet. What is the length of the other length?

• 10 feet

• 12 feet

• 11 feet

• 9 feet

A ladder is leaning against a wall. The foot of the ladder is 6 metres away from the wall, and the ladder reaches a height of 8 metres on the wall. How long is the ladder?

• 10 metres

• 12 metres

• 14 metres

• 15 metres

A square has a diagonal of 10 metres. What is the length of each side of the square?

• 5 metres

• 7 metres

A triangle has sides measuring 9 feet, 12 feet, and 15 feet. Is this triangle a right-angled triangle?

• Yes

• No

The sides of a right-angled triangle are in the ratio 3:4:5. If the hypotenuse is 20 metres, what is the length of the shortest side?

• 12 metres

• 15 metres

• 16 metres

• 18 metres

A right-angled triangle has a hypotenuse of 17 feet and one length of 8 feet. What is the length of the other length?

• 9 feet

• 15 feet

• 12 feet

• 10 feet

If a right-angled triangle has lengths of 7 metres and 24 metres, what is the length of the hypotenuse?

• 25 metres

• 26 metres

• 24 metres

• 23 metres

A rectangle has a length of 9 metres and a width of 12 metres. What is the length of the diagonal?

• 15 metres

• 16 metres

• 18 metres

• 20 metres

A right-angled triangle has a hypotenuse of 10 feet and one length of 6 feet. What is the length of the other length?

• 8 feet

• 7 feet

• 9 feet

• 5 feet