Chapter 7.3, Problem 31E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Given regular octagon *RSTUVWXY* with each side of length 4, find the length of diagonal *RU*. (*HINT: Extended sides, as shown, form a square.*)

To determine

**To find:**

The length of the diagonal *RU*.

Explanation

Consider the given figure.

Here, *ABCD* is a square with all vertex angles equal to 180Â°.

All four triangles are isosceles right triangle.

In triangle *ASR*, *AS* = *AR*

Use Pythagoras theorem in triangle *ASR*.

In triangle *DTU*, *DT *= *DU*

Use Pythagoras theorem in triangle *DTU*.

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