Interactive math problem applying the Pythagorean theorem to calculate the minimum leash length for a dog to reach a corner.

A screenshot of an interactive educational module illustrating the Pythagorean theorem in real life, showing a dog on a leash tied to a corner of a building with a 1m and 4m distance marked, and a question asking for the minimum leash length needed for the dog to reach the bend.

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Show Answer Key & Explanations Step-by-step solution for: Mathematics - Lower Secondary - YDP - Student activity - The ...

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1. Identify the right triangle formed by the leash, the wall, and the ground.
2. The two legs of the right triangle are 3 meters (along the ground) and 4 meters (along the wall).
3. Use the Pythagorean theorem: c² = a² + b², where c is the hypotenuse (leash length), and a and b are the legs.
4. Substitute the values: c² = 3² + 4² = 9 + 16 = 25.
5. Solve for c: c = √25 = 5.
6. The length of the leash should be at least 5.00 metres.

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

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