# Unit 6: Triangles

Essential Questions:
• How do we know that a set of lengths forms an acute, obtuse, right, or nonexistent triangle?
•  What are special types of right triangles and their properties?
• What is trigonometry and how can we use it to solve problems?
• How do we know when two triangles are similar, and how can we use similarity to solve for missing information?
Content:
• The distance formula
• The Pythagorean Theorem and its converse
• 30-60-90 and 45-45-90 triangles
• Sine, cosine, and tangent
• Ratios and proportions
• Similarity
Skills and Processes:
• Using the Pythagorean Theorem and its converse
• Determining whether a triangle exists, and if so, what type it is, by its side lengths
• Using the special properties of 30-60-90 and 45-45-90 triangles to solve problems
• Discovering interior and exterior angle properties of triangles.
• Using sine, cosine, and tangent to solve right triangle problems.
• Using the SSS, SAS, and AA similarity conjectures to solve triangle problems.