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

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Presentation transcript:

Pythagorean Theorem Converse Special Triangles

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

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

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

Example

Special Right Triangles Isosceles Right Triangle Two sides are congruent Two angles are congruent Can you prove this

Proof

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

Proof

Homework Pg 481 2,4,6,12,14 Honors 17 and 18 Pg Type, 7-15 odd Honors 18 and 19 Pg