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#### shaalaa.com | The Pythagorean Theorem and Its Converse

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- (Motivate) If a Perpendicular is Drawn from the Vertex of the Right Angle of a Right Triangle to the Hypotenuse, the Triangles on Each Side of the Perpendicular Are Similar to the Whole Triangle and to Each Other.
- Pythagoras Theorem and Its Converse
- (Prove) in a Right Triangle, the Square on the Hypotenuse is Equal to the Sum of the Squares on the Other Two Sides.
- (Prove) in a Triangle, If the Square on One Side is Equal to Sum of the Squares on the Other Two Sides, the Angles Opposite to the First Side is a Right Angle