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Grade 8 · Pythagoras
The Theorem of Pythagoras (Grade 8)
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  / 18

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Find the hypotenuse: sides 3 cm and 4 cm.
    (2)
    3 cm4 cm?
  2. 2
    Find the hypotenuse: sides 9 cm and 12 cm.
    (2)
    9 cm 12 cm ?
  3. 3
    Find the missing side: hypotenuse 10 cm, one side 6 cm.
    (2)
    6 cm?10 cm
  4. 4
    Find the missing side: hypotenuse 25 cm, one side 24 cm.
    (2)
    24 cm?25 cm
  5. 5
    Find the hypotenuse in surd form: sides 1 cm and 2 cm.
    (2)
    1 cm2 cm?
  6. 6
    Find the hypotenuse in surd form: sides 3 cm and 5 cm.
    (2)
    3 cm5 cm?
  7. 7
    Is a triangle with sides 5, 12, 13 right-angled?
    (2)
    13125
  8. 8
    Is a triangle with sides 6, 7, 10 right-angled?
    (2)
    100,3°1076
  9. 9
    A ladder 5 m long rests 3 m from a wall. How high up the wall does it reach?
    (2)
    3 m?5 m
TOTAL: 18 marks
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