Pythagoras' Theorem: Word Problems (Year 9)
Free printable UK Year 9 (Key Stage 3) maths worksheet: solve real-world right-triangle problems (ladders, diagonals, screen sizes) with Pythagoras' theorem.
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Grade 8 · Math worksheet
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Math
Pythagoras' Theorem: Word Problems
Use Pythagoras' theorem to solve each real-world right-triangle problem.
- 1.A ladder 15 m long leans against a wall. The base of the ladder is 12 m from the wall. How high up the wall does the ladder reach?
- 2.A rectangular lawn is 3 m long and 4 m wide. Find the corner-to-corner diagonal distance.
- 3.A park is 12 m east and 5 m north of the school gate. What is the straight-line distance from the school gate to the park?
- 4.A TV screen is 16 inches wide and 12 inches tall. What is its diagonal screen size?
- 5.A ladder 13 m long leans against a wall. The base of the ladder is 12 m from the wall. How high up the wall does the ladder reach?
- 6.A rectangular lawn is 6 m long and 8 m wide. Find the corner-to-corner diagonal distance.
- 7.A park is 24 m east and 7 m north of the school gate. What is the straight-line distance from the school gate to the park?
- 8.A TV screen is 15 inches wide and 8 inches tall. What is its diagonal screen size?
- 9.A ladder 10 m long leans against a wall. The base of the ladder is 8 m from the wall. How high up the wall does the ladder reach?
- 10.A rectangular lawn is 14 m long and 48 m wide. Find the corner-to-corner diagonal distance.
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