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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 4.3, Problem 12E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Chapter 4.3, Problem 12E, In Exercises 11 to 14, consider MNPQ with diagonals MPandNQ. When the answer is not a whole number, , example 1In Exercises 11 to 14, consider MNPQ with diagonals M P ¯  and  N Q ¯ . When the answer is not a whole number, leave a square root answer.

Chapter 4.3, Problem 12E, In Exercises 11 to 14, consider MNPQ with diagonals MPandNQ. When the answer is not a whole number, , example 2

Exercises 11 – 14

If QP = 9 and NP = 6, find NQ and MP.

To determine

To find:

NQ and MP of the given rectangle.

Explanation

The basic property of rectangle:

1) All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

2) All angles are right angles by definition.

3) The diagonals are congruent.

Calculation:

Given: QP = 9 and NP = 6

Consider the rectangle.

To find NQ and MP:

From the property, opposite sides are congruent in rectangle.

So, MN = QP = 9

MQ = NP = 6

Let us take right â–³MPQ.

By using Pythagorean Theorem

MP2=QP2+QM2=92+62=81+36=117MP=117

Let us take right â–³QNP

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Sect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10E
Sect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.1 P-28ESect-4.1 P-29ESect-4.1 P-30ESect-4.1 P-31ESect-4.1 P-32ESect-4.1 P-33ESect-4.1 P-34ESect-4.1 P-35ESect-4.1 P-36ESect-4.1 P-37ESect-4.1 P-38ESect-4.1 P-39ESect-4.1 P-40ESect-4.1 P-41ESect-4.1 P-42ESect-4.1 P-43ESect-4.1 P-44ESect-4.2 P-1ESect-4.2 P-2ESect-4.2 P-3ESect-4.2 P-4ESect-4.2 P-5ESect-4.2 P-6ESect-4.2 P-7ESect-4.2 P-8ESect-4.2 P-9ESect-4.2 P-10ESect-4.2 P-11ESect-4.2 P-12ESect-4.2 P-13ESect-4.2 P-14ESect-4.2 P-15ESect-4.2 P-16ESect-4.2 P-17ESect-4.2 P-18ESect-4.2 P-19ESect-4.2 P-20ESect-4.2 P-21ESect-4.2 P-22ESect-4.2 P-23ESect-4.2 P-24ESect-4.2 P-25ESect-4.2 P-26ESect-4.2 P-27ESect-4.2 P-28ESect-4.2 P-29ESect-4.2 P-30ESect-4.2 P-31ESect-4.2 P-32ESect-4.2 P-33ESect-4.2 P-34ESect-4.2 P-35ESect-4.2 P-36ESect-4.2 P-37ESect-4.2 P-38ESect-4.2 P-39ESect-4.2 P-40ESect-4.3 P-1ESect-4.3 P-2ESect-4.3 P-3ESect-4.3 P-4ESect-4.3 P-5ESect-4.3 P-6ESect-4.3 P-7ESect-4.3 P-8ESect-4.3 P-9ESect-4.3 P-10ESect-4.3 P-11ESect-4.3 P-12ESect-4.3 P-13ESect-4.3 P-14ESect-4.3 P-15ESect-4.3 P-16ESect-4.3 P-17ESect-4.3 P-18ESect-4.3 P-19ESect-4.3 P-20ESect-4.3 P-21ESect-4.3 P-22ESect-4.3 P-23ESect-4.3 P-24ESect-4.3 P-25ESect-4.3 P-26ESect-4.3 P-27ESect-4.3 P-28ESect-4.3 P-29ESect-4.3 P-30ESect-4.3 P-31ESect-4.3 P-32ESect-4.3 P-33ESect-4.3 P-34ESect-4.3 P-35ESect-4.3 P-36ESect-4.3 P-37ESect-4.3 P-38ESect-4.3 P-39ESect-4.3 P-40ESect-4.3 P-41ESect-4.3 P-42ESect-4.3 P-43ESect-4.3 P-44ESect-4.4 P-1ESect-4.4 P-2ESect-4.4 P-3ESect-4.4 P-4ESect-4.4 P-5ESect-4.4 P-6ESect-4.4 P-7ESect-4.4 P-8ESect-4.4 P-9ESect-4.4 P-10ESect-4.4 P-11ESect-4.4 P-12ESect-4.4 P-13ESect-4.4 P-14ESect-4.4 P-15ESect-4.4 P-16ESect-4.4 P-17ESect-4.4 P-18ESect-4.4 P-19ESect-4.4 P-20ESect-4.4 P-21ESect-4.4 P-22ESect-4.4 P-23ESect-4.4 P-24ESect-4.4 P-25ESect-4.4 P-26ESect-4.4 P-27ESect-4.4 P-28ESect-4.4 P-29ESect-4.4 P-30ESect-4.4 P-31ESect-4.4 P-32ESect-4.4 P-33ESect-4.4 P-34ESect-4.4 P-35ESect-4.4 P-36ESect-4.4 P-37ESect-4.4 P-38ESect-4.4 P-39ESect-4.4 P-40ESect-4.4 P-41ESect-4.4 P-42ESect-4.4 P-43ESect-4.4 P-44ESect-4.4 P-45ESect-4.CR P-1CRSect-4.CR P-2CRSect-4.CR P-3CRSect-4.CR P-4CRSect-4.CR P-5CRSect-4.CR P-6CRSect-4.CR P-7CRSect-4.CR P-8CRSect-4.CR P-9CRSect-4.CR P-10CRSect-4.CR P-11CRSect-4.CR P-12CRSect-4.CR P-13CRSect-4.CR P-14CRSect-4.CR P-15CRSect-4.CR P-16CRSect-4.CR P-17CRSect-4.CR P-18CRSect-4.CR P-19CRSect-4.CR P-20CRSect-4.CR P-21CRSect-4.CR P-22CRSect-4.CR P-23CRSect-4.CR P-24CRSect-4.CR P-25CRSect-4.CR P-26CRSect-4.CR P-27CRSect-4.CR P-28CRSect-4.CR P-29CRSect-4.CR P-30CRSect-4.CR P-31CRSect-4.CR P-32CRSect-4.CR P-33CRSect-4.CR P-34CRSect-4.CR P-35CRSect-4.CT P-1CTSect-4.CT P-2CTSect-4.CT P-3CTSect-4.CT P-4CTSect-4.CT P-5CTSect-4.CT P-6CTSect-4.CT P-7CTSect-4.CT P-8CTSect-4.CT P-9CTSect-4.CT P-10CTSect-4.CT P-11CTSect-4.CT P-12CTSect-4.CT P-13CTSect-4.CT P-14CTSect-4.CT P-15CTSect-4.CT P-16CTSect-4.CT P-17CT

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