Quiz

Cambridge Mathematics 9: Pythagoras' theorem

10 questions with solutions on the Cambridge Mathematics 9 topic: hypotenuse and shorter sides, right-angled triangles, diagonals, distance between points.

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

1. The shorter sides are 6 cm and 8 cm. The hypotenuse in cm?Enter a number only

2. The shorter sides are 5 cm and 12 cm. The hypotenuse in cm?Enter a number only

3. Hypotenuse 13 cm, one side 5 cm. The other side in cm?Enter a number only

4. Hypotenuse 25 cm, one side 7 cm. The other side in cm?Enter a number only

5. Is a triangle with sides 7, 24 and 25 right-angled?

A. no

B. only if it is isosceles

C. cannot tell

D. yes

6. A rectangle is 9 cm × 12 cm. The diagonal in cm?Enter a number only

7. A 10 m ladder has its foot 6 m from a wall. How high (m) up the wall does it reach?Enter a number only

8. The distance between (0, 0) and (8, 15)?Enter a number only

9. The diagonal of a square with side 1?

A. 2

B. 1

C. √3

D. √2

10. An isosceles triangle has equal sides 10 cm and base 12 cm. Its height to the base in cm?Enter a number only