McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 8.2, Problem 15WE
To determine

To find: the length of the diagonal of the square.

Expert Solution & Answer
Check Mark

Answer to Problem 15WE

  42

Explanation of Solution

Given:

The perimeter of square is 16.

Concept Used:

  Perimeter of square=4×side

It is given that perimeter of square is 16.

Then,

  Perimeter of square=4×side16=4×side164=side4=side

Draw a square of side 4 and label it as ABCD .

And let the length of the diagonal AC¯ be x.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 8.2, Problem 15WE

Consider the right triangle ADC .

Now, AC¯ is the hypotenuse and has length x and the lengths of the legs are 4 and 4.

So, by Pythagoras theorem,

  AC2=AD2+DC2x2=42+42x2=16+16x2=32

Now, take square root of both sides,

  x2=32x=42

Chapter 8 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 8.1 - Prob. 11CECh. 8.1 - Prob. 12CECh. 8.1 - Prob. 13CECh. 8.1 - Prob. 14CECh. 8.1 - Prob. 15CECh. 8.1 - Prob. 16CECh. 8.1 - Prob. 17CECh. 8.1 - Prob. 1WECh. 8.1 - Prob. 2WECh. 8.1 - Prob. 3WECh. 8.1 - Prob. 4WECh. 8.1 - Prob. 5WECh. 8.1 - Prob. 6WECh. 8.1 - Prob. 7WECh. 8.1 - Prob. 8WECh. 8.1 - Prob. 9WECh. 8.1 - Prob. 10WECh. 8.1 - Prob. 11WECh. 8.1 - Prob. 12WECh. 8.1 - Prob. 13WECh. 8.1 - Prob. 14WECh. 8.1 - Prob. 15WECh. 8.1 - Prob. 16WECh. 8.1 - Prob. 17WECh. 8.1 - Prob. 18WECh. 8.1 - Prob. 19WECh. 8.1 - Prob. 20WECh. 8.1 - Prob. 21WECh. 8.1 - Prob. 22WECh. 8.1 - Prob. 23WECh. 8.1 - Prob. 24WECh. 8.1 - Prob. 25WECh. 8.1 - Prob. 26WECh. 8.1 - Prob. 27WECh. 8.1 - Prob. 28WECh. 8.1 - Prob. 29WECh. 8.1 - Prob. 30WECh. 8.1 - Prob. 31WECh. 8.1 - Prob. 32WECh. 8.1 - Prob. 33WECh. 8.1 - Prob. 34WECh. 8.1 - Prob. 35WECh. 8.1 - Prob. 36WECh. 8.1 - Prob. 37WECh. 8.1 - Prob. 38WECh. 8.1 - Prob. 39WECh. 8.1 - Prob. 40WECh. 8.1 - Prob. 41WECh. 8.1 - Prob. 42WECh. 8.1 - Prob. 43WECh. 8.1 - 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Prob. 3ST1Ch. 8.4 - Prob. 4ST1Ch. 8.4 - Prob. 5ST1Ch. 8.4 - Prob. 6ST1Ch. 8.4 - Prob. 7ST1Ch. 8.5 - Prob. 1CECh. 8.5 - Prob. 2CECh. 8.5 - Prob. 3CECh. 8.5 - Prob. 4CECh. 8.5 - Prob. 5CECh. 8.5 - Prob. 6CECh. 8.5 - Prob. 7CECh. 8.5 - Prob. 8CECh. 8.5 - Prob. 9CECh. 8.5 - Prob. 10CECh. 8.5 - Prob. 11CECh. 8.5 - Prob. 1WECh. 8.5 - Prob. 2WECh. 8.5 - Prob. 3WECh. 8.5 - Prob. 4WECh. 8.5 - Prob. 5WECh. 8.5 - Prob. 6WECh. 8.5 - Prob. 7WECh. 8.5 - Prob. 8WECh. 8.5 - Prob. 9WECh. 8.5 - Prob. 10WECh. 8.5 - Prob. 11WECh. 8.5 - Prob. 12WECh. 8.5 - Prob. 13WECh. 8.5 - Prob. 14WECh. 8.5 - Prob. 15WECh. 8.5 - Prob. 16WECh. 8.5 - Prob. 17WECh. 8.5 - Prob. 18WECh. 8.5 - Prob. 19WECh. 8.5 - Prob. 20WECh. 8.5 - Prob. 21WECh. 8.5 - Prob. 22WECh. 8.5 - Prob. 23WECh. 8.5 - Prob. 24WECh. 8.5 - Prob. 25WECh. 8.5 - Prob. 26WECh. 8.5 - Prob. 27WECh. 8.5 - Prob. 28WECh. 8.5 - Prob. 29WECh. 8.5 - Prob. 30WECh. 8.6 - Prob. 1CECh. 8.6 - Prob. 2CECh. 8.6 - Prob. 3CECh. 8.6 - Prob. 4CECh. 8.6 - Prob. 5CECh. 8.6 - Prob. 6CECh. 8.6 - 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Prob. 11WECh. 8.7 - Prob. 12WECh. 8.7 - Prob. 13WECh. 8.7 - Prob. 14WECh. 8.7 - Prob. 1ST2Ch. 8.7 - Prob. 2ST2Ch. 8.7 - Prob. 3ST2Ch. 8.7 - Prob. 4ST2Ch. 8.7 - Prob. 5ST2Ch. 8.7 - Prob. 6ST2Ch. 8.7 - Prob. 7ST2Ch. 8.7 - Prob. 8ST2Ch. 8.7 - Prob. 9ST2Ch. 8.7 - Prob. 1ECh. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Prob. 8CRCh. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Prob. 14CRCh. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 18CRCh. 8 - Prob. 19CRCh. 8 - Prob. 20CRCh. 8 - Prob. 21CRCh. 8 - Prob. 22CRCh. 8 - Prob. 23CRCh. 8 - Prob. 24CRCh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - Prob. 3CTCh. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 8CTCh. 8 - Prob. 9CTCh. 8 - 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