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

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Presentation transcript:

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

Triangles by sides: Scalene - a scalene triangle is triangle in which no two sides are congruent W A D

G U M Isosceles -an isosceles triangle is a triangle in which at least 2 sides are congruent

Equilateral - an equilateral triangle is a triangle in which all sides are congruent Y UM

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

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

Obtuse: An obtuse triangle is a triangle in which ONE of the angles is an obtuse angle. F IN

D C B A Given: AD and CD are legs of isosceles ADC. B is the midpoint of AC Prove:  A   C 1.AD and CD are legs of isosceles ADC. 2.AD  CD 3.B is midpt. of AC 4.AB  BC 5.Draw DB 6.DB  DB 7. DAB  DCB 8.  A   C 1.Given 2.An isos. triangle is a triangle in which at least 2 sides are . 3.Given 4.A mdpt. divides a seg into 2  segs. 5.2 points determine a line. 6.Reflexive Property 7.SSS 8.CPCTC

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