Pythagoras' Theorem Quiz

You need a ladder that will reach up a 7.62 metre tall house when placed 3.05 metres away from the house. How tall does the ladder need to be?

Which equation could be used to solve the problem?

Use the Pythagorean Theorem to solve for x.

Solve for the value of y

• 13

• 5

• 23

• 10

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

• 5 metres

• 6 metres

• 7 metres

• 8 metres

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DOK Level 1: Recall

If a right-angled triangle has a hypotenuse of 10 metres and one leg of 6 metres, what is the length of the other leg?

• 7 metres

• 8 metres

• 9 metres

• 10 metres

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DOK Level 1: Recall

A ladder is leaning against a wall, forming a right-angled triangle with the ground. If the ladder is 5 metres long and the base of the ladder is 3 metres from the wall, how high up the wall does the ladder reach?

• 2 metres

• 3 metres

• 4 metres

• 5 metres

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DOK Level 1: Recall

Which of the following sets of side lengths can form a right-angled triangle?

• 5 metres, 12 metres, 13 metres

• 6 metres, 8 metres, 10 metres

• 7 metres, 24 metres, 25 metres

• All of the above

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DOK Level 1: Recall

A rectangular field has a length of 15 metres and a width of 20 metres. What is the length of the diagonal of the field?

• 20 metres

• 25 metres

• 30 metres

• 35 metres

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DOK Level 1: Recall

A right-angled triangle has a hypotenuse of 13 metres and one leg of 5 metres. What is the length of the other leg?

• 10 metres

• 11 metres

• 12 metres

• 13 metres

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DOK Level 1: Recall

If a triangle has sides of lengths 7 metres, 24 metres, and 25 metres, is it a right-angled triangle?

• Yes

• No

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DOK Level 1: Recall