Values: Respect, Integrity, Mathematical Thinking GOAL: MAXIMIZE UNDERSTANDING

QuadrilateralsTrianglesRegular Polygons Circles Prisms Pyramids

Warm-up 1.) What types of triangles have you studied? What are characteristics of each one? 2.) Given 2 sides of a right triangle find the third side a.)b.) c.) 3.) What is the name a theorem you might have used to solve these? When do you use it?

By side length: By Angle Measure: Equilateral Isosceles Scalene Obtuse Acute Right

2.) Given 2 sides of a triangle find the third side a.) Use Pythagorean THM. OR notice that triangle is isosceles & Right => 45/45/90. We’ll come back to this method of solving in today’s lesson

2.) Given 2 sides of a triangle find the third side b.) USE PYTHAGOREAN THM

2.) Given 2 sides of a triangle find the third side c.) USE PYTHAGOREAN THM OR USE SIMILAR TRIANGLES

3.) What is the name a theorem you might have used to solve these? PYTHAGOREAN THM When do you use it? WITH RIGHT TRIANGLES ONLY

Review: Special Right Triangles 45 º-45 º-90 º triangle Ex. 1.) From warmup.

Review: Special Right Triangles 45 º-45 º-90 º triangle

Review: Special Right Triangles 45 º-45 º-90 º triangle Ex. #3.) Answers :EXACT & dominator rationalized

Review: Special Right Triangles 30º-60 º-90 º triangle Example From the Warmup 60º 30º

Review: Special Right Triangles 30º-60 º-90 º triangle Formula: X is the SHORT SIDE:

Review: Special Right Triangles 30º-60 º-90 º triangle Formula: X is the SHORT SIDE: 60º 30º

Area of Triangles: = ½ b*h b is length of the base h is height of triangle

6 3 b a 3√2 Find a & b WARM-UP

1.) Topic you didn’t understand & what specifically about this problem didn’t you get 2.) What you did to figure out answer (name of example from notes or book that you looked at) & why this didn’t help 3.) Plan to gain understanding of this problem & topic.

Area of Triangles: = ½ b*h ANY TRIANGLE:

Area of Triangles: = ½ b*h Height may be outside triangle

Example: Find Area of Triangle A.)B.) 3in s 60º

Area of a Equilateral Triangle in terms of side length:

Example: Find Area of Triangle 150º 15º 7in