1. © T Madas

2. 6 m 8 m Finding the hypotenuse x 6262 + 8 2 = x2= x2 36 + 64 = x2= x2 100 = x2= x2 = x= x = x= x 10 x = 10 12 m 13 m Finding one of the shorter sides x 12 2 + x2+ x2 = 13 2 144 + x 2 = 169 x2x2 = 25 x x = 5 – 144 x2x2

3. © T Madas 10 m 12 m Finding the hypotenuse x 10 2 + 12 2 = x2= x2 100 + 144 = x2= x2 244 = x2= x2 = x= x = x= x 15.62 x ≈ 15.62 11 m 15 m Finding one of the shorter sides x 11 2 + x2+ x2 = 15 2 121 + x 2 = 225 x2x2 = 104 x x ≈ 10.20 – 121 x2x2

4. © T Madas 5 cm 12 cm x a Find x Double application Pythagoras theorem

5. © T Madas 5 m x Find the perimeter of this triangle 20 m 13 m Two applications of Pythagoras Theorem to find x h The perimeter of this triangle is 54 m

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7. 15 8 17 10 6 11.7 24 7 25 12 35 37 5 15 15.8 8 8 11.3 Calculate the hypotenuse of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate. all measurements in cm

8. © T Madas 12 9 15 14 6 15.2 12 5 13 20 21 29 6 20 20.9 9 9 12.7 Calculate the hypotenuse of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate. all measurements in cm

9. © T Madas 17.9 9 20 15 13.2 20 45 28 53 20 21 29 11 60 61 9.4 9 13 Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate. all measurements in cm

10. © T Madas 16.1 8 18 20 15 25 10.4 6 12 17.3 22 28 10 24 26 6 8 10 Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate. all measurements in cm

11. © T Madas 30 16 34 36 15 39 13 6 14.3 17.0 21 27 18 80 82 7.5 8 11 Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate. all measurements in cm

12. © T Madas 28 21 35 31 23.7 39 13 6 14.3 20 21 29 14 48 50 2.8 4.5 5.3 Calculate the missing side of these right-angled triangles, giving your answer correct to 1 d.p. where appropriate. all measurements in cm

13. © T Madas