The Pythagorean Theorem 

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A right triangle is a triangle with one internal angle that measures 90°. The Pythagorean Theorem helps determine if you're dealing with a right triangle. 

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What is the Pythagorean Theorem?  It states that the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. 

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Consider the three squares shown below. Are the combined areas of the two smaller squares larger than the area of the largest square?  

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Geometric Proof of the Pythagorean Theorem 

the sum of the areas of two smaller square = area of the largest square

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Applications of the Pythagorean Theorem

- Navigation - Architecture and Construction  - Surveying 

Thank you

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