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Common Core 8.G.B.6 worksheet

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, KS3 Geometry and measures

Name

Date

Score/ 16

  1. Question 1

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

    ?8 yd17 yd

    Answer

  2. Question 2

    Grace builds a garden frame with sides 10 dm and 24 dm and wants a perfect right-angled corner. How long should the diagonal brace be, in dm?

    Answer

  3. Question 3

    A triangle has sides 21, 72 and 75. Is it a right triangle?

    • A. Yes
    • B. No
  4. Question 4

    A rectangular park is 12 m by 10 m. How long is the diagonal path across it? Round to 1 decimal place.

    Answer

  5. Question 5

    A right triangle has legs 9 m and 12 m. How long is the hypotenuse, in m?

    12 m9 m?

    Answer

  6. Question 6

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

    ?3 ft5 ft

    Answer

  7. Question 7

    Mei builds a garden frame with sides 24 dm and 45 dm and wants a perfect right-angled corner. How long should the diagonal brace be, in dm?

    Answer

  8. Question 8

    A triangle has sides 21, 72 and 77. Is it a right triangle?

    • A. Yes
    • B. No
  9. Question 9

    A ladder leans against a wall. Its foot is 10 m from the wall and it reaches 11 m up the wall. How long is the ladder? Round to 1 decimal place.

    Answer

  10. Question 10

    A right triangle has legs 7 yd and 24 yd. How long is the hypotenuse, in yd?

    24 yd7 yd?

    Answer

  11. Question 11

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

    ?7 cm25 cm

    Answer

  12. Question 12

    Jamal builds a garden frame with sides 3 dm and 4 dm and wants a perfect right-angled corner. How long should the diagonal brace be, in dm?

    Answer

  13. Question 13

    A triangle has sides 3, 4 and 5. Is it a right triangle?

    • A. Yes
    • B. No
  14. Question 14

    A ladder leans against a wall. Its foot is 4 m from the wall and it reaches 6 m up the wall. How long is the ladder? Round to 1 decimal place.

    Answer

  15. Question 15

    A right triangle has legs 9 m and 12 m. How long is the hypotenuse, in m?

    12 m9 m?

    Answer

  16. Question 16

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

    ?10 cm26 cm

    Answer

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Answer key: Common Core 8.G.B.6 worksheet

  1. 1. 15

  2. 2. 26

  3. 3. A. Yes

  4. 4. 15.6

  5. 5. 15

  6. 6. 4

  7. 7. 51

  8. 8. B. No

  9. 9. 14.9

  10. 10. 25

  11. 11. 24

  12. 12. 5

  13. 13. A. Yes

  14. 14. 7.2

  15. 15. 15

  16. 16. 24

8.G.B.6 Worksheet: Pythagoras' theorem | Eurekami