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Use Pythagoras to find a shorter side

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.B.7 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

Name

Date

Score/ 16

  1. Question 1

    A right triangle has hypotenuse 18 cm and one leg 5 cm. Find the other leg, to 1 decimal place.

    Answer

  2. Question 2

    A right triangle has hypotenuse 51 m and one leg 45 m. How long is the other leg, in m?

    45 m?51 m

    Answer

  3. Question 3

    A right triangle has hypotenuse 8 cm and one leg 5 cm. Find the other leg, to 1 decimal place.

    Answer

  4. Question 4

    A right triangle has hypotenuse 75 m and one leg 72 m. How long is the other leg, in m?

    72 m?75 m

    Answer

  5. Question 5

    A right triangle has hypotenuse 13 cm and one leg 3 cm. Find the other leg, to 1 decimal place.

    Answer

  6. Question 6

    A right triangle has hypotenuse 17 m and one leg 15 m. How long is the other leg, in m?

    15 m?17 m

    Answer

  7. Question 7

    A right triangle has hypotenuse 13 cm and one leg 3 cm. Find the other leg, to 1 decimal place.

    Answer

  8. Question 8

    A right triangle has hypotenuse 13 m and one leg 12 m. How long is the other leg, in m?

    12 m?13 m

    Answer

  9. Question 9

    A right triangle has hypotenuse 16 cm and one leg 7 cm. Find the other leg, to 1 decimal place.

    Answer

  10. Question 10

    A right triangle has hypotenuse 51 m and one leg 45 m. How long is the other leg, in m?

    45 m?51 m

    Answer

  11. Question 11

    A right triangle has hypotenuse 15 cm and one leg 13 cm. Find the other leg, to 1 decimal place.

    Answer

  12. Question 12

    A right triangle has hypotenuse 17 m and one leg 15 m. How long is the other leg, in m?

    15 m?17 m

    Answer

  13. Question 13

    A right triangle has hypotenuse 10 cm and one leg 5 cm. Find the other leg, to 1 decimal place.

    Answer

  14. Question 14

    A right triangle has hypotenuse 10 m and one leg 8 m. How long is the other leg, in m?

    8 m?10 m

    Answer

  15. Question 15

    A right triangle has hypotenuse 20 cm and one leg 12 cm. Find the other leg, to 1 decimal place.

    Answer

  16. Question 16

    A right triangle has hypotenuse 75 m and one leg 72 m. How long is the other leg, in m?

    72 m?75 m

    Answer

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Answer key: Use Pythagoras to find a shorter side

  1. 1. 17.3

  2. 2. 24

  3. 3. 6.2

  4. 4. 21

  5. 5. 12.6

  6. 6. 8

  7. 7. 12.6

  8. 8. 5

  9. 9. 14.4

  10. 10. 24

  11. 11. 7.5

  12. 12. 8

  13. 13. 8.7

  14. 14. 6

  15. 15. 16

  16. 16. 21