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Types of Triangle

Types of Triangle. Objective - name the various types of triangles and their parts. Chapter 3.6. Triangles by sides: Scalene - a scalene triangle is triangle in which no two sides are congruent. W. D. A. G U M.

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Types of Triangle

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  1. Types of Triangle Objective- name the various types of triangles and their parts. Chapter 3.6

  2. Triangles by sides: Scalene- a scalene triangle is triangle in whichno two sides are congruent W D A

  3. G U M Isosceles-an isosceles triangle is a triangle in whichat least 2 sides are congruent

  4. Equilateral- an equilateral triangle is a triangle inwhich all sides are congruent Y U M

  5. Triangles by angles: Acute: An acute triangle is a triangle in which all angles are acute and add up to 180 degrees. D 80 60 40 R E

  6. Right: A right triangle is a triangle in which one of the angles is a right angle. H O T

  7. Obtuse: An obtuse triangle is a triangle in which ONE of the angles is an obtuse angle. F 30 110 40 N I

  8. D Given: AD and CD are legs of isosceles ADC. B is the midpoint of AC Prove: A  C A C B • AD and CD are legs of isosceles ADC. • AD  CD • B is midpt. of AC • AB  BC • Draw DB • DB  DB • DAB  DCB •  A  C • Given • An isos. triangle is a triangle in which at least 2 sides are . • Given • A mdpt. divides a seg into 2  segs. • 2 points determine a line. • Reflexive Property • SSS • CPCTC

  9. Given: AB = x + 3 AC = 3x + 2 BC = 2x + 3 Perimeter of ABC = 20 Show that ABC is scalene. A B C Perimeter = 20 = x + 3 + 3x + 2 + 2x + 3 20 = 6x + 8 12 = 6x 2 = x AB = 2 + 3 = 5 AC = 3(2) + 2 = 8 BC = 2(2) + 3 = 7 ABC is scalene because no sides are .

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