# Trig: Pythagorean Theorem 205

This class introduces the Pythagorean theorem and explains how to apply this rule to find unknown information in sample part drawings.

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## Class Details

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.
Version:
1.0
Difficulty:
Intermediate
Number of Lessons:
13
Spanish, Chinese
Related 2.0 Class:
Trigonometry: The Pythagorean Theorem 201

## 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

## 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.

## Certifications

SME
• CMfgT
MSSC
• MSSC Quality Practices and Measurement

## Glossary

Vocabulary Term Definition
arc A portion of a circle. From the center of an arc, you can draw a radius to any point on the arc.
diameter The distance from one edge of the circle to the opposite end through the center. The diameter is two times the radius.
die punch The tool typically attached to the upper portion of the die set that shapes or penetrates the sheet metal.
exponent Another term for a power. The exponent is the smaller number above and to the right of the number being multiplied by itself.
hypotenuse The longest side of a right triangle. The hypotenuse is always opposite the 90° angle in a right triangle.
leg A side of a right triangle other than the hypotenuse.
power A mathematical operation indicating how many times a number is multiplied by itself.
Pythagorean theorem 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.
radius 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.
right triangle A triangle containing exactly one 90° angle. The other two angles must total exactly 90 degrees.
root A mathematical operation indicating which unknown number, multiplied by itself a specific number of times, equals the number included inside the root sign.
square A common power in which you multiply a number by itself once.
square root The most common root, indicating which unknown number multiplied by itself equals the number inside the square root sign.
symmetrical 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.
tangent A line, line segment, or ray that touches a circle at exactly one point.