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Quiz

Grade 8: Pythagoras’ theorem

10 questions with solutions for grade 8: Pythagoras’ theorem and using it in triangles and quadrilaterals.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. Shorter sides 6 cm and 8 cm. The hypotenuse in cm?

2. Shorter sides 9 cm and 12 cm. The hypotenuse in cm?

3. Hypotenuse 17 cm, one side 8 cm. The other side in cm?

4. Shorter sides 20 cm and 21 cm. The hypotenuse in cm?

5. Is the triangle with sides 5, 12 and 13 right-angled?

6. The diagonal of a square with side 5 cm?

7. A 24 cm × 7 cm rectangle. The diagonal in cm?

8. The height of an equilateral triangle with side 10 cm?

9. A rhombus has diagonals 12 cm and 16 cm. How long is a side?

10. An isosceles trapezium has bases 14 cm and 8 cm and legs of 5 cm. How high is it?