BuyFindarrow_forward

Elementary Geometry for College St...

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

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry for College St...

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

If MNPQ is a rhombus, which formula from this section should be used to calculate its area?

Chapter 8.1, Problem 4E, If MNPQ is a rhombus, which formula from this section should be used to calculate its area? Exercise

Exercise 4–6

To determine

To Calculate:

The area of a rhombus MNPQ.

Explanation

Calculation:

Given,

If MNPQ is a rhombus,

Rhombus has four equal sides and its diagonals bisect each other at right angles.

Here,

The rhombus of diagonal d1=MP

The rhombus of diagonal d2=NQ

From the diagram,

Here, ON=OQ=d22 and OP=OM=d12

ΔNOM,ΔPON,ΔQON and ΔMOQ are the right triangles in the rhombus.

Thus, the area of rhombus is equal to the sum of the area of right triangle ΔNOM(A1),ΔPON(A2),ΔQON(A3) and ΔMOQ(A4)

The area of rhombus (A)=A1+A2+A3+A4

For the right ΔNOM,

The area of the right ΔNOM(A1)=12ab unit2

Here, ON=a=d22 and OM=b=d12

A1=12d22d12

=d2d18

A1=d1d28

For the right ΔPON,

Area of the right ΔPON(A2)=12ab

Here, ON=a=d22 and OP=b=d12

A2=12d22d12

A2=d2d18

A2=d1d2

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.2 P-1ESect-8.2 P-2ESect-8.2 P-3ESect-8.2 P-4ESect-8.2 P-5ESect-8.2 P-6ESect-8.2 P-7ESect-8.2 P-8ESect-8.2 P-9ESect-8.2 P-10ESect-8.2 P-11ESect-8.2 P-12ESect-8.2 P-13ESect-8.2 P-14ESect-8.2 P-15ESect-8.2 P-16ESect-8.2 P-17ESect-8.2 P-18ESect-8.2 P-19ESect-8.2 P-20ESect-8.2 P-21ESect-8.2 P-22ESect-8.2 P-23ESect-8.2 P-24ESect-8.2 P-25ESect-8.2 P-26ESect-8.2 P-27ESect-8.2 P-28ESect-8.2 P-29ESect-8.2 P-30ESect-8.2 P-31ESect-8.2 P-32ESect-8.2 P-33ESect-8.2 P-34ESect-8.2 P-35ESect-8.2 P-36ESect-8.2 P-37ESect-8.2 P-38ESect-8.2 P-39ESect-8.2 P-40ESect-8.2 P-41ESect-8.2 P-42ESect-8.2 P-43ESect-8.2 P-44ESect-8.2 P-45ESect-8.2 P-46ESect-8.2 P-47ESect-8.2 P-48ESect-8.2 P-49ESect-8.2 P-50ESect-8.2 P-51ESect-8.2 P-52ESect-8.2 P-53ESect-8.2 P-54ESect-8.2 P-55ESect-8.2 P-56ESect-8.3 P-1ESect-8.3 P-2ESect-8.3 P-3ESect-8.3 P-4ESect-8.3 P-5ESect-8.3 P-6ESect-8.3 P-7ESect-8.3 P-8ESect-8.3 P-9ESect-8.3 P-10ESect-8.3 P-11ESect-8.3 P-12ESect-8.3 P-13ESect-8.3 P-14ESect-8.3 P-15ESect-8.3 P-16ESect-8.3 P-17ESect-8.3 P-18ESect-8.3 P-19ESect-8.3 P-20ESect-8.3 P-21ESect-8.3 P-22ESect-8.3 P-23ESect-8.3 P-24ESect-8.3 P-25ESect-8.3 P-26ESect-8.3 P-27ESect-8.3 P-28ESect-8.3 P-29ESect-8.3 P-30ESect-8.3 P-31ESect-8.3 P-32ESect-8.3 P-33ESect-8.3 P-34ESect-8.3 P-35ESect-8.3 P-36ESect-8.3 P-37ESect-8.3 P-38ESect-8.4 P-1ESect-8.4 P-2ESect-8.4 P-3ESect-8.4 P-4ESect-8.4 P-5ESect-8.4 P-6ESect-8.4 P-7ESect-8.4 P-8ESect-8.4 P-9ESect-8.4 P-10ESect-8.4 P-11ESect-8.4 P-12ESect-8.4 P-13ESect-8.4 P-14ESect-8.4 P-15ESect-8.4 P-16ESect-8.4 P-17ESect-8.4 P-18ESect-8.4 P-19ESect-8.4 P-20ESect-8.4 P-21ESect-8.4 P-22ESect-8.4 P-23ESect-8.4 P-24ESect-8.4 P-25ESect-8.4 P-26ESect-8.4 P-27ESect-8.4 P-28ESect-8.4 P-29ESect-8.4 P-30ESect-8.4 P-31ESect-8.4 P-32ESect-8.4 P-33ESect-8.4 P-34ESect-8.4 P-36ESect-8.4 P-37ESect-8.4 P-38ESect-8.4 P-39ESect-8.4 P-40ESect-8.4 P-41ESect-8.4 P-42ESect-8.4 P-43ESect-8.4 P-44ESect-8.4 P-45ESect-8.4 P-46ESect-8.4 P-47ESect-8.5 P-1ESect-8.5 P-2ESect-8.5 P-3ESect-8.5 P-4ESect-8.5 P-5ESect-8.5 P-6ESect-8.5 P-7ESect-8.5 P-8ESect-8.5 P-9ESect-8.5 P-10ESect-8.5 P-11ESect-8.5 P-12ESect-8.5 P-13ESect-8.5 P-14ESect-8.5 P-15ESect-8.5 P-16ESect-8.5 P-17ESect-8.5 P-18ESect-8.5 P-19ESect-8.5 P-20ESect-8.5 P-21ESect-8.5 P-22ESect-8.5 P-23ESect-8.5 P-24ESect-8.5 P-25ESect-8.5 P-26ESect-8.5 P-27ESect-8.5 P-28ESect-8.5 P-29ESect-8.5 P-30ESect-8.5 P-31ESect-8.5 P-32ESect-8.5 P-33ESect-8.5 P-34ESect-8.5 P-35ESect-8.5 P-36ESect-8.5 P-37ESect-8.5 P-38ESect-8.5 P-39ESect-8.5 P-40ESect-8.5 P-41ESect-8.5 P-42ESect-8.5 P-43ESect-8.5 P-44ESect-8.5 P-45ESect-8.CR P-1CRSect-8.CR P-2CRSect-8.CR P-3CRSect-8.CR P-4CRSect-8.CR P-5CRSect-8.CR P-6CRSect-8.CR P-7CRSect-8.CR P-8CRSect-8.CR P-9CRSect-8.CR P-10CRSect-8.CR P-11CRSect-8.CR P-12CRSect-8.CR P-13CRSect-8.CR P-14CRSect-8.CR P-15CRSect-8.CR P-16CRSect-8.CR P-17CRSect-8.CR P-18CRSect-8.CR P-19CRSect-8.CR P-20CRSect-8.CR P-21CRSect-8.CR P-22CRSect-8.CR P-23CRSect-8.CR P-24CRSect-8.CR P-25CRSect-8.CR P-26CRSect-8.CR P-27CRSect-8.CR P-28CRSect-8.CR P-29CRSect-8.CR P-30CRSect-8.CR P-31CRSect-8.CR P-32CRSect-8.CR P-33CRSect-8.CR P-34CRSect-8.CR P-35CRSect-8.CR P-36CRSect-8.CR P-37CRSect-8.CR P-38CRSect-8.CR P-39CRSect-8.CR P-40CRSect-8.CT P-1CTSect-8.CT P-2CTSect-8.CT P-3CTSect-8.CT P-4CTSect-8.CT P-5CTSect-8.CT P-6CTSect-8.CT P-7CTSect-8.CT P-8CTSect-8.CT P-9CTSect-8.CT P-10CTSect-8.CT P-11CTSect-8.CT P-12CTSect-8.CT P-13CTSect-8.CT P-14CTSect-8.CT P-15CTSect-8.CT P-16CTSect-8.CT P-17CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 4756, solve the given equation for the indicated variable. 5x+1=1125

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate each expression: 6[ 3+2(2+5) ]

Elementary Technical Mathematics

Outsourcing of Jobs According to a study conducted in 2003. the total number of U.S. jobs (in millions) that ar...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In Problems 15-40, use properties of limits and algebraic methods to find the limits, if they exist. 39.

Mathematical Applications for the Management, Life, and Social Sciences

Find the critical numbers of the function. f(x) = x2e3x

Single Variable Calculus: Early Transcendentals

01e2xdx= a) 2e2 1 b) `e2 1 c) 12e2 d) 12(e21)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th