Year 9 Pythagoras' Theorem Quiz
Use a² + b² = c² to find the hypotenuse or a shorter side of a right-angled triangle and solve real-world problems.
In this quiz you'll practise:
- Identify the hypotenuse of a right-angled triangle
- Find the hypotenuse and shorter sides using a² + b² = c²
- Test whether a triangle is right-angled and recognise Pythagorean triads
- Apply Pythagoras' theorem to real-world problems
Check each answer as you go. If you're not sure, you'll get a hint and another try. Every question has an explanation.
About this Year 9 pythagoras' theorem quiz
This free Year 9 Pythagoras' theorem quiz helps students practise the measurement skills in the Australian Curriculum for Year 9. Students identify the hypotenuse, use a² + b² = c² to find the longest side or a shorter side of a right-angled triangle, and test whether three side lengths form a right-angled triangle. They recognise Pythagorean triads, round answers involving square roots, and apply the theorem to practical problems such as a ladder against a wall, the diagonal of a rectangle and a walking route. Every question includes a full worked solution showing how to set up and solve the equation.
Using a² + b² = c² to find unknown sides of right-angled triangles and solve real-world problems.
- Curriculum
- Australian Curriculum v9.0 — Mathematics, Year 9
- Questions
- 10 · about 9 minutes
- Written by
- Success Tutoring Curriculum Team