Practice Pythagoras’ Theorem (1.1) - Theorems in Geometry & Trigonometry
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Pythagoras’ Theorem

Practice - Pythagoras’ Theorem

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

A ladder makes a 90° angle with a wall. The base of the ladder is 6 m away from the wall, and it reaches a height of 8 m. Find the length of the ladder.

💡 Hint: Use the theorem: Hypotenuse² = Base² + Height².

Question 2 Easy

In a right triangle, if one leg is 3 cm and the hypotenuse is 5 cm, find the other leg.

💡 Hint: Rearrange the theorem to find the missing leg.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

In a right-angled triangle, if one side is 9 cm and the other is 12 cm, what is the hypotenuse length?

15 cm
20 cm
25 cm

💡 Hint: Remember to apply the theorem.

Question 2

True or False: The sides of a right triangle must always follow Pythagoras' Theorem.

True
False

💡 Hint: Think about the definition of a right triangle.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A triangular garden has sides of 5 m, 12 m, and an unknown length. Verify if it's a right triangle using Pythagoras' Theorem.

💡 Hint: Calculate the squares and apply the theorem.

Challenge 2 Hard

If the height of a right triangle is tripled and the base stays the same, how does the length of the hypotenuse change?

💡 Hint: Use the same base, but solve for new height to find new hypotenuse.

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