Pythagoras Theorem Worksheet | PDF

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Answer Key – Pythagoras Theorem Worksheet

A. Find the Hypotenuse

1. 5 cm
2. 13 m
3. 17 cm
4. 25 m
5. 15 cm

B. Find the Missing Leg

6. 12 cm
7. 8 m
8. 15 cm
9. 24 m
10. 12 cm

C. Multiple Choice

11. B — $a^2+b^2=c^2$
12. C — The side opposite the right angle
13. C — Right-angled
14. B — 15

D. True or False

15. False
16. True
17. True
18. True
19. True

E. Find the Error

20. The student forgot to take the square root of 100.
21. 10 cm

F. Word Problems

22. 8 m
23. 13 m
24. 15 km
25. 12 m

G. Does It Form a Right Triangle?

26. Yes — $7^2+24^2=25^2$
27. No — $6^2+10^2\neq12^2$
28. Yes — $9^2+12^2=15^2$
29. No — $8^2+10^2\neq12^2$

H. Challenge

30. 21 cm
31. 7.1 cm
32. 30 m
33. Other leg = 12 cm; hypotenuse = 13 cm

I

34. Yes.
    $10^2+24^2=100+576=676$
    $26^2=676$

Therefore, 10 cm, 24 cm, and 26 cm form a right-angled triangle.