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Pythagoras' theorem

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.B.6, 8.G.B.7 · England: GCSE Foundation Geometry, GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

    A right triangle has legs 16 m and 30 m. How long is the hypotenuse, in m?

    30 m16 m?

    Answer

  2. Question 2

    A right triangle has hypotenuse 26 ft and one leg 10 ft. How long is the other leg, in ft?

    ?10 ft26 ft

    Answer

  3. Question 3

    A rectangular park is 10 m by 9 m. How long is the diagonal path across it? Round to 1 decimal place.

    Answer

  4. Question 4

    A right triangle has legs 8 ft and 15 ft. How long is the hypotenuse, in ft?

    15 ft8 ft?

    Answer

  5. Question 5

    A right triangle has hypotenuse 17 ft and one leg 8 ft. How long is the other leg, in ft?

    ?8 ft17 ft

    Answer

  6. Question 6

    A rectangular park is 4 m by 2 m. How long is the diagonal path across it? Round to 1 decimal place.

    Answer

  7. Question 7

    A right triangle has legs 12 yd and 16 yd. How long is the hypotenuse, in yd?

    16 yd12 yd?

    Answer

  8. Question 8

    A right triangle has hypotenuse 25 ft and one leg 7 ft. How long is the other leg, in ft?

    ?7 ft25 ft

    Answer

  9. Question 9

    A ladder leans against a wall. Its foot is 9 m from the wall and it reaches 3 m up the wall. How long is the ladder? Round to 1 decimal place.

    Answer

  10. Question 10

    A right triangle has legs 12 ft and 16 ft. How long is the hypotenuse, in ft?

    16 ft12 ft?

    Answer

  11. Question 11

    A right triangle has hypotenuse 34 cm and one leg 16 cm. How long is the other leg, in cm?

    ?16 cm34 cm

    Answer

  12. Question 12

    A ladder leans against a wall. Its foot is 6 m from the wall and it reaches 7 m up the wall. How long is the ladder? Round to 1 decimal place.

    Answer

  13. Question 13

    A right triangle has legs 15 yd and 36 yd. How long is the hypotenuse, in yd?

    36 yd15 yd?

    Answer

  14. Question 14

    A right triangle has hypotenuse 5 yd and one leg 3 yd. How long is the other leg, in yd?

    ?3 yd5 yd

    Answer

  15. Question 15

    A ladder leans against a wall. Its foot is 6 m from the wall and it reaches 2 m up the wall. How long is the ladder? Round to 1 decimal place.

    Answer

  16. Question 16

    A right triangle has legs 3 ft and 4 ft. How long is the hypotenuse, in ft?

    4 ft3 ft?

    Answer

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  1. 34
  2. 24
  3. 13.5
  4. 17
  5. 15
  6. 4.5
  7. 20
  8. 24
  9. 9.5
  10. 20
  11. 30
  12. 9.2
  13. 39
  14. 4
  15. 6.3
  16. 5