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Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

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Presentation on theme: "Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares."— Presentation transcript:

1 Section 11.6 Pythagorean Theorem

2 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.

3 Formula: c is always the hypotenuse

4 Find the missing side length 1.a = 12, b = 16, c = _________

5 3. a = ______, b = 10, c = 16

6 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.

7 9.9, 16, 20

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

9 Formula:

10 Find the distance between any two given points. 1.A(5, 8) and B(-7, 8)

11 2.K (-4, -5) and H (-4, 6)


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