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Pythagorean Theorem Application Problems | Pythagorean theorem - Free Printable

Educational worksheet: Pythagorean Theorem Application Problems | Pythagorean theorem. Download and print for classroom or home learning activities.

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- The ladder, the wall, and the ground form a right triangle.
- The distance from the wall to the foot of the ladder (6 feet) is one leg of the triangle.
- The height the ladder reaches on the wall (8 feet) is the other leg.
- The length of the ladder is the hypotenuse.
- Use the Pythagorean theorem: $a^2 + b^2 = c^2$.
- Substitute the values: $6^2 + 8^2 = c^2$.
- Calculate: $36 + 64 = 100$.
- So, $c^2 = 100$.
- Take the square root: $c = \sqrt{100} = 10$.
- The ladder is 10 feet long.

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

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