## Shop Essentials Training

Class Information
 Tooling U classes are offered at the beginner, intermediate, and advanced levels. The typical class consists of 12 to 25 lessons and will take approximately one hour to complete.
 Class Name: Trig: Pythagorean Theorem 205 Description: This class introduces the Pythagorean theorem and explains how to apply this rule to find unknown information in sample part drawings. Prerequisites: 800165 Difficulty: Intermediate Number of Lessons: 13 Language: English, Spanish, Chinese

Below are all the competencies and job programs that contain the class Trig: Pythagorean Theorem 205. Job programs are our traditional class lists organized according to common job functions. Competencies are our latest job-specific curricula that help tie online learning to practical, hands-on tasks.

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Competencies Show All

Class Outline
• Objectives
• What Is a Right Triangle?
• The Pythagorean Theorem
• Powers and Roots
• Pythagorean Theorem: Unknown Hypotenuse
• Pythagorean Theorem: Unknown Leg
• Circle in a V-Block: Sample Problem
• Circle in a V-Block: Solution
• Pythagorean Theorem: Sample Drawing #2
• Sample Drawing #2: Solution
• Die Punch Sample Problem
• Die Punch Sample Problem: Solution
• Summary

Class Objectives
• Describe the characteristics of a right triangle.
• Identify the Pythagorean theorem.
• Use powers and roots to solve a basic problem using the Pythagorean theorem.
• Use the Pythagorean theorem to find the unknown hypotenuse of the right triangle.
• Use the Pythagorean theorem to find an unknown leg on the right triangle.
• Distinguish between essential and nonessential information for solving a problem using the Pythagorean theorem.
• Use the Pythagorean theorem to solve for an unknown side in a sample V-block print.
• Use the Pythagorean theorem to solve for an unknown length in a sample drawing containing arcs and straight edges.
• Distinguish between the essential and nonessential information for solving a problem with the Pythagorean theorem for a symmetrical part.
• Use the Pythagorean theorem to solve for an unknown length for a cylindrical, symmetrical part.

Class Vocabulary

Vocabulary TermDefinition
A portion of a circle. From the center of an arc, you can draw a radius to any point on the arc.
The distance from one edge of the circle to the opposite end through the center. The diameter is two times the radius.
The tool typically attached to the upper portion of the die set that shapes or penetrates the sheet metal.
Another term for a power. The exponent is the smaller number above and to the right of the number being multiplied by itself.
The longest side of a right triangle. The hypotenuse is always opposite the 90° angle in a right triangle.
A side of a right triangle other than the hypotenuse.
A mathematical operation indicating how many times a number is multiplied by itself.
A formula that states that the square of a hypotenuse of a right triangle is equal to the sum of the squares of its two sides. The Pythagorean theorem works only for right triangles.
The distance from the center to the edge of a circle. If you multiply the radius of a circle by two, the result is the diameter.
A triangle containing exactly one 90° angle. The other two angles must total exactly 90 degrees.
A mathematical operation indicating which unknown number, multiplied by itself a specific number of times, equals the number included inside the root sign.
A common power in which you multiply a number by itself once.
The most common root, indicating which unknown number multiplied by itself equals the number inside the square root sign.
A quality in which all the features on either side of a point, line, or plane are identical. Both sides of a symmetrical part have the same dimensions.
A line, line segment, or ray that touches a circle at exactly one point.