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Zipline adventure from a 20-meter tower to a boat 50 meters away.

A sketch showing a person ziplining from a 20-meter-high tower to a boat 50 meters away across the water, with clouds in the sky.

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Show Answer Key & Explanations Step-by-step solution for: Do we need to teach the Pythagoras Theorem? | Teaching Mathematics

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- The scenario forms a right triangle where the height of the tower is one leg (20 m), the horizontal distance from the tower to the boat is the other leg (50 m), and the rope is the hypotenuse.
- Use the Pythagorean theorem: c² = a² + b², where c is the hypotenuse, and a and b are the legs.
- Substitute the values: c² = 20² + 50² = 400 + 2500 = 2900.
- Take the square root: c = √2900 ≈ 53.85 m.
- Therefore, the length of the rope is approximately 53.85 meters.

Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem in real life.

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