SAT Prep Class Unit 2: Geometry Review Day 11: Triangles Objectives: Identify types of triangles and find the missing parts of a triangle. Find the area and perimeter of a triangle. Warm Up 3000 The projected sales volume of a video game cartridge is given by the function s(p) = 2𝑝+𝑎 where s is the number of cartridges sold in thousands, p is the price per cartridge in dollars, and a is a constant. If according to projections, 100,000 cartridges are sold at $10 per cartridge, how many cartridges will be sold at $20 a cartridge? A) 20,000 B) 50,000 C) 60,000 D) 150,000 E) 200,000 SAT Prep Class Unit 2: Geometry Review Day 11: Triangles Objectives: Identify types of triangles and find the missing parts of a triangle. Find the area and perimeter of a triangle. Vocabulary and Formulas: Area of a triangle = The sum of the interior angles of a triangle is Similar Triangles have the same shape: The ratios of the sides are proportional: Isosceles triangles has at least sides Equilateral triangles have all sides congruent A right triangle has a angle and two acute angles. SOHCAHTOA: sin length of side opposite O sin length of hypotenuse H cos length of side adjacent A cos length of hypotenuse H tan length of side opposite O tan length of side adjacent A 𝐴𝐵 𝐷𝐸 𝐵𝐶 𝐶𝐴 = 𝐸𝐹 = 𝐹𝐷 Special Right Triangle Relationships: Example 1: If a triangle has sides of length 15 and 10, what are the possibilities for the third side? Example 2: List the angles in order from smallest to largest if a triangle has sides a = 15, b = 20, and c = 8 Example 3: Solve for x if the angles in a triangle have measures 60º, 2xº, and xº Example 4: Find the missing side in the similar triangles below: Example 5: Find the value of x in the right triangles below: Class work: 129 – 130 Homework; p 135 – 139 Example 6: What is the value of x in the picture below: