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## Class Details

- Class Name:
- Geometry: Triangles 165
- Description:
- This class describes the properties of the various types of triangles and demonstrates how they are used to solve sample part drawings.
- Version:
- 1.0
- Difficulty:
- Beginner
- Number of Lessons:
- 16
- Additional Language:
- Spanish, Chinese
- Related 2.0 Class:
- Geometry: Triangles 161

## Class Outline

- Objectives
- What Is a Triangle?
- Measurements of Interior Angles
- Sum of Interior Angles: Sample Problem
- Sum of Interior Angles: Solution
- Constructing a Triangle: Sample Problem
- Types of Triangles by Sides
- Types of Triangles by Angles
- Isosceles and Equilateral Triangles
- Relationship Between Sides and Angles
- Calculating Area of a Triangle
- Right Triangles
- Right Triangle: Sample Problem
- Two Right Triangles: First Solution
- Two Right Triangles: Second Solution
- Summary

## Objectives

- Define triangle.
- Describe how the angles of a triangle relate to each other.
- Distinguish between essential and nonessential information for solving a problem using triangle geometry.
- Solve a geometric problem using the interior angles of a triangle.
- Solve a geometric problem by adding a triangle to a drawing.
- Match triangles according to their sides.
- Match triangles according to their angles.
- Describe the characteristics of an isosceles triangle.
- Describe the characteristics of an equilateral triangle.
- Describe the relationship between the sides and angles of a triangle.
- Solve for the area of a triangle.
- Describe the characteristics of a right triangle.
- Solve a geometric problem using a right triangle.
- Identify right angles in a typical shop print.

## Job Roles

- Assembly Mechanic
- Master Mechanic
- Autoclave Technician
- Automated Fiber Placement / Automated Tape Layup
- Composite Fundamentals
- Composite Repair Technician
- Composites Cutter and Kitting
- Filament Winding Operator
- Hot Press / Compression Mold Operator
- Infusion Operator
- Manual Layup Technician
- Manual Sprayup Technician
- Pultrusion Operator
- Trim, Drill and Finishing Technician
- Die Maker
- Electron Beam Welding Operator
- Fundamentals
- Hydroforming Operator
- Laser Cutter Operator
- Laser Welding Operator
- Lead Press Operator/Setup
- Press Brake Operator
- Roll Forming Operator
- Stamping Press Operator
- Tube/Bar Bending Operator
- Waterjet Operator
- CNC Programmer
- Grinding Technician
- Lathe Operator
- Machining Fundamentals
- Mill Operator
- Production Grinder
- Production Machinist
- Quality Technician
- Toolmaker / Diemaker
- Waterjet Operator
- Wire EDM Operator
- Automation (Motion Control, Robotics) Technician
- Electrical Maintenance Technician
- Fluid Systems Technician
- Mechanical Maintenance Technician
- Blow Mold Material Handler
- Blow Mold Operator
- Blow Mold Setup Person
- Blow Mold Technician
- Compression Mold Material Handler
- Compression Mold Operator
- Compression Mold Setup Person
- Compression Mold Technician
- Extrusion Material Handler
- Extrusion Operator
- Extrusion Setup Person
- Extrusion Technician
- Fundamentals
- Injection Mold Material Handler
- Injection Mold Operator
- Injection Mold Setup Person
- Mold Maker

## Certifications

SME- CMfgT

- CNC Lathe Operations
- CNC Milling Operations
- Milling I

- MSSC Quality Practices and Measurement

## Glossary

Vocabulary Term | Definition |
---|---|

acute triangle | A triangle containing three angles that are all less than 90 degrees. |

adjacent angles | Two angles that share the same vertex and one side. The two sides that are not shared form a larger angle. |

altitude | In a triangle, a line drawn perpendicular to the base, from the base to the opposite vertex, that represents the height of the triangle. |

angle | A shape formed by two rays or line segments sharing a common endpoint or two lines that intersect. An angle has one vertex and two sides. |

area | The size of the space contained within an enclosed two-dimensional figure. Area is typically measured in square units such as square inches or square centimeters. |

base | In an isosceles triangle, the one side that is not equal to the other sides. |

base angle | In an isosceles triangle, one of the two angles formed by the base and a leg. |

congruent | Equal or similar to each other. |

equilateral triangle | A triangle containing three equal sides that are the same length. |

interior angle | An angle located within a closed figure. A triangle has three interior angles. |

isosceles triangle | A triangle containing two equal sides that are the same length. |

leg | In an isosceles triangle, one of the two sides that are equal in length. |

obtuse triangle | A triangle containing one angle that is greater than 90 degrees. The other two angles must total less than 90 degrees. |

perpendicular | Forming a 90° right angle. |

perpendicular lines | Two lines that intersect to form a 90° angle. |

right angle | An angle that measures exactly 90 degrees. |

right triangle | A triangle containing exactly one 90° angle. The other two angles must total exactly 90 degrees. |

scalene triangle | A triangle containing three unequal sides that are all different lengths. |

supplementary angle | Two angles that, when added together, equal 180 degrees. |

triangle | A closed figure with exactly three sides. The three sides meet to form three interior angles. |

vertex | A point where two lines or line segments meet or intersect. A triangle has three vertices. |

vertex angle | In an isosceles triangle, the angle formed by the two legs of equal length. The vertex angle is always opposite the base. |

vertical angles | Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect. |

vertices | The plural term for vertex. |