This worksheet challenges students to apply the Pythagorean theorem to solve real-world geometry problems, such as finding the diagonal of an A4 sheet or the height a ladder reaches on a wall.

Pythagoras word problems worksheet with geometry questions involving ladders, shapes, and paper dimensions.

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Final Answer:
363.70 mm

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Explanation:
- We are finding the diagonal of a rectangle (the A4 paper). The sides are 210 mm and 297 mm.
- Think of the diagonal as the hypotenuse of a right triangle. The two sides are the legs.
- Use Pythagoras’ theorem: diagonal² = side₁² + side₂²
- So, diagonal² = 210² + 297²
- Calculate: 210 × 210 = 44,100
- Calculate: 297 × 297 = 88,209
- Add them: 44,100 + 88,209 = 132,309
- Now take the square root of 132,309 → √132309 ≈ 363.70
- Round to 2 decimal places → 363.70 mm

That’s how long the diagonal is!

Parent Tip: Review the logic above to help your child master the concept of basic pythagorean theorem worksheet.

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