Pythagoras' Theorem: Finding the Hypotenuse and a Shorter Side (Year 9)
Free printable NZ Year 9 maths worksheet: use Pythagoras' theorem to find the hypotenuse or a shorter side of a right-angled triangle, with labelled triangle diagrams and word problems.
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Grade 8 · Math worksheet
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Math
Pythagoras' Theorem: Finding the Hypotenuse and a Shorter Side
Use Pythagoras' theorem (a^2 + b^2 = c^2) to find the unknown side x in each right-angled triangle.
- 1.The right-angled triangle shown has legs of 4 cm and 3 cm. Use Pythagoras' theorem to find the length x of the hypotenuse.
- 2.The right-angled triangle shown has legs of 21 cm and 20 cm. Use Pythagoras' theorem to find the length x of the hypotenuse.
- 3.The right-angled triangle shown has legs of 28 cm and 21 cm. Use Pythagoras' theorem to find the length x of the hypotenuse.
- 4.The right-angled triangle shown has legs of 24 cm and 10 cm. Use Pythagoras' theorem to find the length x of the hypotenuse.
- 5.The right-angled triangle shown has a hypotenuse of 25 cm and one leg of 20 cm. Use Pythagoras' theorem to find the length x of the other leg.
- 6.The right-angled triangle shown has a hypotenuse of 17 cm and one leg of 8 cm. Use Pythagoras' theorem to find the length x of the other leg.
- 7.The right-angled triangle shown has a hypotenuse of 30 cm and one leg of 24 cm. Use Pythagoras' theorem to find the length x of the other leg.
- 8.The right-angled triangle shown has a hypotenuse of 35 cm and one leg of 21 cm. Use Pythagoras' theorem to find the length x of the other leg.
- 9.A 5 m ladder leans against a vertical wall, with its foot 3 m from the base of the wall. How far up the wall does the ladder reach?
- 10.Tane walks 10 km east and then 24 km south. How far is he from his starting point in a straight line?
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