Suggested languages for you:

Americas

Europe

Problem 622

Construct a regular decagon.

Expert verified

Construct a circle with a chosen radius. Draw its horizontal diameter and find its midpoint. Construct a perpendicular line from the midpoint to the circle's top-most point and calculate the decagon's side length using the golden ratio (s = r * (1 + \(\phi\))/2). Construct the regular decagon by finding the points on the circle, equal to the calculated side length, and join the vertices with straight lines.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 34

Given the unit length below, construct a segment of length \(\sqrt{3}\)

Chapter 34

Inscribe a square in a given semicircle.

Chapter 34

Construct the product of 2 and \(4(1 / 2)\).

Chapter 34

Given two circles at fixed locations, find the line that cuts equal chords in both of them.

Chapter 34

Using a straight edge only, construct the perpendicular to a given diameter of a circle from any point off the diameter.

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner