Pythagoras' Theorem & Trigonometry (Grade 9)
Free printable Grade 9 geometry worksheet: Pythagoras' theorem and the sine, cosine and tangent ratios.
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Grade 9 · Math worksheet
Name
Date
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.A right triangle has legs 9 and 40. Find the hypotenuse.
- 2.A right triangle has hypotenuse 29 and one leg 20. Find the other leg.
- 3.A right triangle has hypotenuse 15 and one leg 9. Find the other leg.
- 4.A right triangle has legs 8 and 15. Find the hypotenuse.
- 5.A right triangle has legs 9 and 12. Find the hypotenuse.
- 6.A right triangle has sides 6 and 8 and hypotenuse 10. The angle theta is opposite the side of length 6. Find sin(theta) as a decimal, rounded to 3 decimal places.
- 7.A right triangle has sides 9 and 12 and hypotenuse 15. The angle theta is opposite the side of length 9. Find cos(theta) as a decimal, rounded to 3 decimal places.
- 8.A right triangle has sides 7 and 24 and hypotenuse 25. The angle theta is opposite the side of length 7. Find tan(theta) as a decimal, rounded to 3 decimal places.
- 9.A right triangle has sides 12 and 16 and hypotenuse 20. The angle theta is opposite the side of length 12. Find sin(theta) as a decimal, rounded to 3 decimal places.
- 10.A right triangle has sides 8 and 15 and hypotenuse 17. The angle theta is opposite the side of length 8. Find sin(theta) as a decimal, rounded to 3 decimal places.
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