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Pythagoras' Theorem - Solving Complex Problems: Use the theorem to find the length of PN in triangle OMPN and calculate the area of a square with the same perimeter as trapezium ABCD.

Diagram illustrating two geometry problems involving Pythagoras' Theorem: one with a right-angled triangle OMPN and another with a square and trapezium ABCD.

Diagram illustrating two geometry problems involving Pythagoras' Theorem: one with a right-angled triangle OMPN and another with a square and trapezium ABCD.

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