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Sides of a Triangle (Lengths)

Sides of a Triangle (Lengths). The addition of the lengths of any two sides of a triangle must be greater than the third. a b c a + b >c a+ c> b c + b>a. Angles of a Triangle. Sum to 180˚ B A C m<A + m< B +m< C = 180˚. Exterior angle of a Triangle.

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Sides of a Triangle (Lengths)

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  1. Sides of a Triangle (Lengths)

  2. The addition of the lengths of any two sides of a triangle must be greater than the third. a b c a + b >c a+ c> b c + b>a

  3. Angles of a Triangle

  4. Sum to 180˚ B A C m<A + m< B +m< C = 180˚

  5. Exterior angle of a Triangle

  6. The sum of the two non-adjacent angles of the triangle is equal to the measure of the exterior angle. B A C D m<A + m<B = m<BCD

  7. Special Right Triangle (30˚, 60˚, 90˚)

  8. Side opposite 30˚= ½ hypotenuse Side opposite 60˚= ½ hypotenuse 60 Hypotenuse Side opp 30 30 Side opp 60

  9. Special Right Triangle (45˚, 45˚, 90˚)

  10. Hypotenuse = leg 45 Hyp Leg 45 Leg

  11. Similar Triangles ~

  12. corresponding angles are congruent • corresponding sides are in proportion.

  13. Isosceles Triangle

  14. A triangle that contains two congruent sides and angles

  15. Isosceles Right Triangle

  16. (45˚, 45˚, 90˚) 45 Hyp Leg 45 Leg

  17. Median of a triangle

  18. A line that is drawn form the vertex of a triangle to the midpoint of the opposite side

  19. Altitude of a Triangle

  20. The altitude of a triangle is a line segment extending from any vertex of a triangle perpendicular to the line containing the opposite side. Altitude

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