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 8.4, Problem 6WE
To determine

To complete: the given table.

Expert Solution & Answer
Check Mark

Answer to Problem 6WE

    abc
      7  7  14

Explanation of Solution

Given:

The figure:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 8.4, Problem 6WE , additional homework tip  1

And the table:

    abc
    ??  14

Concept Used:

Theorem 3-11: The addition of measures of all angles of a triangle is 180.

Theorem 8-6: in a 45°45°90° triangle, the hypotenuse is 2 times as long as legs of triangle.

Label the given figure as shown below:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 8.4, Problem 6WE , additional homework tip  2

Apply theorem 3-11 on the triangle ABC ,

  mA+mB+mC=180mA+90+45=180mA+135=180

  mA=180135mA=45

Thus, the given triangle is a 45°45°90° . Here c is the side opposite to the right angle, so it is the hypotenuse and a and b are the legs.

Now, by theorem 8-6, the hypotenuse is 2 times as long as a leg, so

  c=2a14=2a272=a7=a

Now, a 45°45°90° is an isosceles triangle and thus both its legs are congruent.

Thus,

  b=a=7

Thus, the complete table is:

    abc
      7  7  14

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 - Prob. 44WECh. 8.1 - Prob. 45WECh. 8.2 - Prob. 1CECh. 8.2 - Prob. 2CECh. 8.2 - Prob. 3CECh. 8.2 - Prob. 4CECh. 8.2 - Prob. 5CECh. 8.2 - Prob. 6CECh. 8.2 - Prob. 7CECh. 8.2 - Prob. 8CECh. 8.2 - Prob. 9CECh. 8.2 - Prob. 10CECh. 8.2 - Prob. 11CECh. 8.2 - Prob. 12CECh. 8.2 - Prob. 13CECh. 8.2 - Prob. 14CECh. 8.2 - Prob. 15CECh. 8.2 - Prob. 16CECh. 8.2 - Prob. 17CECh. 8.2 - Prob. 18CECh. 8.2 - Prob. 1WECh. 8.2 - Prob. 2WECh. 8.2 - Prob. 3WECh. 8.2 - Prob. 4WECh. 8.2 - Prob. 5WECh. 8.2 - Prob. 6WECh. 8.2 - Prob. 7WECh. 8.2 - Prob. 8WECh. 8.2 - Prob. 9WECh. 8.2 - Prob. 10WECh. 8.2 - Prob. 11WECh. 8.2 - Prob. 12WECh. 8.2 - Prob. 13WECh. 8.2 - Prob. 14WECh. 8.2 - Prob. 15WECh. 8.2 - Prob. 16WECh. 8.2 - Prob. 17WECh. 8.2 - Prob. 18WECh. 8.2 - Prob. 19WECh. 8.2 - Prob. 20WECh. 8.2 - Prob. 21WECh. 8.2 - Prob. 22WECh. 8.2 - Prob. 23WECh. 8.2 - Prob. 24WECh. 8.2 - Prob. 25WECh. 8.2 - Prob. 26WECh. 8.2 - Prob. 27WECh. 8.2 - Prob. 28WECh. 8.2 - Prob. 29WECh. 8.2 - Prob. 30WECh. 8.2 - Prob. 31WECh. 8.2 - Prob. 32WECh. 8.2 - Prob. 33WECh. 8.2 - Prob. 34WECh. 8.2 - Prob. 35WECh. 8.2 - Prob. 36WECh. 8.2 - Prob. 37WECh. 8.2 - Prob. 38WECh. 8.2 - Prob. 39WECh. 8.2 - Prob. 1MRECh. 8.2 - Prob. 2MRECh. 8.2 - Prob. 3MRECh. 8.2 - Prob. 4MRECh. 8.2 - Prob. 5MRECh. 8.2 - Prob. 6MRECh. 8.2 - Prob. 7MRECh. 8.3 - Prob. 1CECh. 8.3 - Prob. 2CECh. 8.3 - Prob. 3CECh. 8.3 - Prob. 4CECh. 8.3 - Prob. 5CECh. 8.3 - Prob. 6CECh. 8.3 - Prob. 7CECh. 8.3 - Prob. 8CECh. 8.3 - Prob. 9CECh. 8.3 - Prob. 10CECh. 8.3 - Prob. 1WECh. 8.3 - Prob. 2WECh. 8.3 - Prob. 3WECh. 8.3 - Prob. 4WECh. 8.3 - Prob. 5WECh. 8.3 - Prob. 6WECh. 8.3 - Prob. 7WECh. 8.3 - Prob. 8WECh. 8.3 - Prob. 9WECh. 8.3 - Prob. 10WECh. 8.3 - Prob. 11WECh. 8.3 - Prob. 12WECh. 8.3 - Prob. 13WECh. 8.3 - Prob. 14WECh. 8.3 - Prob. 15WECh. 8.3 - Prob. 16WECh. 8.3 - Prob. 17WECh. 8.3 - Prob. 18WECh. 8.3 - Prob. 19WECh. 8.3 - Prob. 20WECh. 8.3 - Prob. 21WECh. 8.3 - Prob. 22WECh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.4 - Prob. 1CECh. 8.4 - Prob. 2CECh. 8.4 - Prob. 3CECh. 8.4 - Prob. 4CECh. 8.4 - Prob. 5CECh. 8.4 - Prob. 6CECh. 8.4 - Prob. 7CECh. 8.4 - Prob. 8CECh. 8.4 - Prob. 9CECh. 8.4 - Prob. 10CECh. 8.4 - Prob. 11CECh. 8.4 - Prob. 12CECh. 8.4 - Prob. 1WECh. 8.4 - Prob. 2WECh. 8.4 - Prob. 3WECh. 8.4 - Prob. 4WECh. 8.4 - Prob. 5WECh. 8.4 - Prob. 6WECh. 8.4 - Prob. 7WECh. 8.4 - Prob. 8WECh. 8.4 - Prob. 9WECh. 8.4 - Prob. 10WECh. 8.4 - Prob. 11WECh. 8.4 - Prob. 12WECh. 8.4 - Prob. 13WECh. 8.4 - Prob. 14WECh. 8.4 - Prob. 15WECh. 8.4 - Prob. 16WECh. 8.4 - Prob. 17WECh. 8.4 - Prob. 18WECh. 8.4 - Prob. 19WECh. 8.4 - Prob. 20WECh. 8.4 - Prob. 21WECh. 8.4 - Prob. 22WECh. 8.4 - Prob. 23WECh. 8.4 - Prob. 24WECh. 8.4 - Prob. 25WECh. 8.4 - Prob. 26WECh. 8.4 - Prob. 27WECh. 8.4 - Prob. 28WECh. 8.4 - Prob. 29WECh. 8.4 - Prob. 30WECh. 8.4 - Prob. 31WECh. 8.4 - Prob. 32WECh. 8.4 - Prob. 33WECh. 8.4 - Prob. 34WECh. 8.4 - Prob. 35WECh. 8.4 - Prob. 36WECh. 8.4 - Prob. 37WECh. 8.4 - Prob. 38WECh. 8.4 - Prob. 39WECh. 8.4 - Prob. 1ST1Ch. 8.4 - Prob. 2ST1Ch. 8.4 - 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 - Prob. 7CECh. 8.6 - Prob. 8CECh. 8.6 - Prob. 9CECh. 8.6 - Prob. 10CECh. 8.6 - Prob. 11CECh. 8.6 - Prob. 12CECh. 8.6 - Prob. 13CECh. 8.6 - Prob. 14CECh. 8.6 - Prob. 15CECh. 8.6 - Prob. 1WECh. 8.6 - Prob. 2WECh. 8.6 - Prob. 3WECh. 8.6 - Prob. 4WECh. 8.6 - Prob. 5WECh. 8.6 - Prob. 6WECh. 8.6 - Prob. 7WECh. 8.6 - Prob. 8WECh. 8.6 - Prob. 9WECh. 8.6 - Prob. 10WECh. 8.6 - Prob. 11WECh. 8.6 - Prob. 12WECh. 8.6 - Prob. 13WECh. 8.6 - Prob. 14WECh. 8.6 - Prob. 15WECh. 8.6 - Prob. 16WECh. 8.6 - Prob. 17WECh. 8.6 - Prob. 18WECh. 8.6 - Prob. 19WECh. 8.6 - Prob. 20WECh. 8.6 - Prob. 21WECh. 8.6 - Prob. 22WECh. 8.6 - Prob. 23WECh. 8.6 - Prob. 24WECh. 8.6 - Prob. 25WECh. 8.6 - Prob. 26WECh. 8.7 - Prob. 1CECh. 8.7 - Prob. 2CECh. 8.7 - Prob. 3CECh. 8.7 - Prob. 4CECh. 8.7 - Prob. 5CECh. 8.7 - Prob. 6CECh. 8.7 - Prob. 7CECh. 8.7 - Prob. 1WECh. 8.7 - Prob. 2WECh. 8.7 - Prob. 3WECh. 8.7 - Prob. 4WECh. 8.7 - Prob. 5WECh. 8.7 - Prob. 6WECh. 8.7 - Prob. 7WECh. 8.7 - Prob. 8WECh. 8.7 - Prob. 9WECh. 8.7 - Prob. 10WECh. 8.7 - 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 - Prob. 10CTCh. 8 - Prob. 11CTCh. 8 - Prob. 12CTCh. 8 - Prob. 13CTCh. 8 - Prob. 14CTCh. 8 - Prob. 15CTCh. 8 - Prob. 16CTCh. 8 - Prob. 17CTCh. 8 - Prob. 18CTCh. 8 - Prob. 19CTCh. 8 - Prob. 20CTCh. 8 - Prob. 21CTCh. 8 - Prob. 22CTCh. 8 - Prob. 23CTCh. 8 - Prob. 24CTCh. 8 - Prob. 25CTCh. 8 - Prob. 26CTCh. 8 - Prob. 27CTCh. 8 - Prob. 1CURCh. 8 - Prob. 2CURCh. 8 - Prob. 3CURCh. 8 - Prob. 4CURCh. 8 - Prob. 5CURCh. 8 - Prob. 6CURCh. 8 - Prob. 7CURCh. 8 - Prob. 8CURCh. 8 - Prob. 9CURCh. 8 - Prob. 10CURCh. 8 - Prob. 11CURCh. 8 - Prob. 12CURCh. 8 - Prob. 13CURCh. 8 - Prob. 14CURCh. 8 - Prob. 15CURCh. 8 - Prob. 16CURCh. 8 - Prob. 17CUR

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