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Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter.

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Presentation on theme: "Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter."— Presentation transcript:

1 Pythagorean Theorem Converse Special Triangles

2 Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter sides

3 Right Triangle Hypotenuse = c Legs are a and b Remember how to determine which leg will be longer longer leg across from larger angle

4 Type of Triangle We also discussed other types of triangles that could be formed using a version of Pythagoreans Theorem

5 Example

6

7 Special Right Triangles Isosceles Right Triangle 45-45-90 Two sides are congruent Two angles are congruent Can you prove this

8 Proof

9 Special Right Triangle 30-60-90 Short leg across from 30 Long leg across from 60 Hypotenuse across from 90

10 Proof

11 Homework Pg 481 2,4,6,12,14 Honors 17 and 18 Pg 486 1-6 Type, 7-15 odd Honors 18 and 19 Pg 493 1-8


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