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Pythagorean Theorem animation showing a ladder problem with a cat in a tree.

A cartoon illustration of a firefighter rescuing a cat from a tree using a ladder, demonstrating the Pythagorean Theorem with a right triangle diagram showing sides a = ?, b = 3m, and c = 10m.

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Show Answer Key & Explanations Step-by-step solution for: PYTHAGOREAN THEOREM | Animation

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- The problem involves finding the height of a tree using the Pythagorean Theorem.
- The ladder (10 meters) is the hypotenuse (c) of a right triangle.
- The distance from the base of the tree to the ladder's foot (3 meters) is one leg (b).
- The height of the tree (a) is the unknown leg.
- Apply the Pythagorean Theorem: a² + b² = c².
- Substitute known values: a² + 3² = 10².
- Calculate: a² + 9 = 100.
- Solve for a²: a² = 100 - 9 = 91.
- Take the square root: a = √91 ≈ 9.54 meters.

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

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