Practice Pythagoras' Theorem (3) - Unit 3: Geometry of Shapes & Space: Exploring Form and Measurement
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Pythagoras' Theorem

Practice - Pythagoras' Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the hypotenuse of a right triangle with legs measuring 6 meters and 8 meters?

💡 Hint: Use the formula a² + b² = c².

Question 2 Easy

If one leg of a right triangle is 5 meters and the hypotenuse is 13 meters, what is the length of the other leg?

💡 Hint: Rearrange the theorem to solve for the second leg.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula of Pythagoras' Theorem?

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

Question 2

Which side of the triangle is always longest?

a
b
c

💡 Hint: Remember, the hypotenuse is opposite the right angle.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

An airplane is flying at a height of 5000 feet and is 4000 feet horizontally away from the airport. Calculate the straight line distance from the airplane to the airport below using Pythagoras' theorem.

💡 Hint: Apply the theorem with height as one leg and horizontal distance as the other.

Challenge 2 Hard

A right triangle is formed in a field where one leg measures 12 meters and the other leg measures 16 meters. Calculate the area and the length of the hypotenuse.

💡 Hint: Calculate both the lengths and area using the right triangle properties.

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Reference links

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