Section 11.6 Pythagorean Theorem

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Section 11.6Pythagorean Theorem
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Pythagorean Theorem

• In any right triangle, the square of the length
  of the hypotenuse equals the sum of the squares
  of the lengths of the legs.

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• Formula
• c is always the hypotenuse

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Find the missing side length

1. a 12, b 16, c _________

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• 3. a ______, b 10, c 16

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Converse of Pythagorean Theorem

• If the sum of the squares of the legs of the
  triangle is equal to the square of the
  hypotenuse, then the sides form a right triangle.

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• 9, 16, 20

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The Distance Formula

• The distance formula can be used to find the
  length between any two points on a coordinate
  plane.

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• Formula

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Find the distance between any two given points.

• A(5, 8) and B(-7, 8)

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• K (-4, -5) and H (-4, 6)