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December 10, 2009 Right Triangles

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Page 1: Pythagoras1

December 10, 2009

Right Triangles

Page 2: Pythagoras1

December 10, 2009

Can you make a right triangle with sides 6 units, 6 units and 12 units?

Page 3: Pythagoras1

December 10, 2009

4, 5 and 12? 6, 7 and 12?

Page 4: Pythagoras1

December 10, 2009

Only some combinations of side measures will produce right triangles.

Page 5: Pythagoras1

December 10, 2009

Page 6: Pythagoras1

December 10, 2009

Short Leg(a) a2

LongerLeg(b)

b2 Hypotenuse(c) c2

Page 7: Pythagoras1

December 10, 2009

Pythagorean Relationship

· the relationship between the side measures of a right triangle.· the sum of the areas of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse.· a2 + b2 = c2