Types of Triangle Chapter 3 6 Objective name

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 W two sides are congruent D A

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

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

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

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

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

D Given: AD and CD are legs of isosceles B is the midpoint of AC ADC. Prove: A C B 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 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

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