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Triangles 101004144626-phpapp02

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Transcript

  • 1. By Cody Chesney
  • 2. Polygons Geometric Shape Closed figure Three sides
  • 3. Angles Two types First – Interior Angles Always three Total 180°
  • 4. Angles (cont.) Second – Exterior Angles Along line from interior angle Exterior + Interior = 180° Sum of other interior angles
  • 5. Types of Triangles By sides: Scalene Triangles Isosceles Triangles Equilateral Triangles
  • 6. Scalene Triangles All angles different All sides different Can be a right triangle Not always
  • 7. Isosceles Triangles  Two angles are equal  Third = 180 – Sum of two equal angles  Two sides are equal  Third shorter than each of other two
  • 8. Equilateral Triangles  All three sides equal  All three angles equal  Each angle equals 60°
  • 9. Types of Triangles (cont.) By angles: Oblique Triangles Obtuse Triangles Acute triangles Right Triangles
  • 10. Types of Triangles (cont.)  Oblique triangles Do not have a 90° angle  Obtuse Triangles One angle greater than 90°
  • 11. Acute Triangles All angles less than 90° Both Acute and Obtuse are Oblique Types of Triangles (cont.)
  • 12. Right Triangles One angle = 90° Called “right angle” Can be isosceles and scalene Cannot be equilateral
  • 13. Area of Triangles Area is space enclosed in figure A=(1/2)*b*h h b
  • 14. Pythagorean Theorem Unique to right triangles Correlation between three sides a2+b2=c2
  • 15. Pythagorean Theorem (cont.)  Pythagorean triples All three sides are integers Examples: ○a=3, b=4, c=5 ○a=8, b=15, c=17
  • 16. Citations  kryptos86, “Triangles” June 6, 2010 via Flickr, Creative Commons Attribution, Noncommercial, No Derivative Works License  tanakawho, “Abstract (triangle)” February 3, 2010 via Flickr, Creative Commons Attribution, Noncommercial License  Swamibu, “The Great Pyramid: Size Matters” January 18, 2008 via Flickr, Creative Commons Attribution, Noncommercial License

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