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Pythagoras' Theorem & Trigonometry (Grade 8)

Free printable Grade 8 geometry worksheet: Pythagoras' theorem and the sine, cosine and tangent ratios.

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Grade 8 · Math worksheet
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Math

Geometry: Pythagoras' Theorem & Trigonometry

Use Pythagoras' theorem to find the missing side (exact answer), or find the trigonometric ratio rounded to 3 decimal places.

  1. 1.
    A right triangle has hypotenuse 13 and one leg 5. Find the other leg.
  2. 2.
    A right triangle has hypotenuse 26 and one leg 10. Find the other leg.
  3. 3.
    A right triangle has legs 12 and 16. Find the hypotenuse.
  4. 4.
    A right triangle has legs 9 and 12. Find the hypotenuse.
  5. 5.
    A right triangle has legs 10 and 24. Find the hypotenuse.
  6. 6.
    A right triangle has sides 12 and 16 and hypotenuse 20. The angle theta is opposite the side of length 12. Find cos(theta) as a decimal, rounded to 3 decimal places.
  7. 7.
    A right triangle has sides 10 and 24 and hypotenuse 26. The angle theta is opposite the side of length 10. Find cos(theta) as a decimal, rounded to 3 decimal places.
  8. 8.
    A right triangle has sides 12 and 16 and hypotenuse 20. The angle theta is opposite the side of length 12. Find tan(theta) as a decimal, rounded to 3 decimal places.
  9. 9.
    A right triangle has sides 20 and 21 and hypotenuse 29. The angle theta is opposite the side of length 20. Find tan(theta) as a decimal, rounded to 3 decimal places.
  10. 10.
    A right triangle has sides 9 and 40 and hypotenuse 41. The angle theta is opposite the side of length 9. Find tan(theta) as a decimal, rounded to 3 decimal places.
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