Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

Create An Account

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #251 : Quadrilaterals

Find the length of the diagonal of a square with side lengths of .

Possible Answers:

$9\sqrt2$

$3\sqrt2$

$6\sqrt2$

Correct answer:

$3\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=3\sqrt2$

Report an Error

Example Question #663 : Basic Geometry

Find the length of the diagonal of a square with side lengths of .

Possible Answers:

$11\sqrt2$

$22\sqrt2$

$15\sqrt2$

$16\sqrt2$

Correct answer:

$22\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=22\sqrt2$

Report an Error

Example Question #664 : Basic Geometry

Find the length of the diagonal of a square with a side length of .

Possible Answers:

$16\sqrt2$

$6\sqrt2$

$12\sqrt2$

Correct answer:

$12\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=12\sqrt2$

Report an Error

Example Question #261 : Quadrilaterals

Find the length of the diagonal of a square that has a side length of .

Possible Answers:

$5\sqrt2$

$10\sqrt2$

2.5

Correct answer:

$5\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=5\sqrt2$

Report an Error

Example Question #262 : Quadrilaterals

Find the length of the diagonal of a square that has a side length of 159 .

Possible Answers:

159

The length of the diagonal cannot be determined.

$159\sqrt2$

$169\sqrt2$

Correct answer:

$159\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=159\sqrt2$

Report an Error

Example Question #263 : Quadrilaterals

Find the length of the diagonal of a square with side lengths of .

Possible Answers:

$27\sqrt2$

$25\sqrt2$

$9\sqrt2$

$28\sqrt2$

Correct answer:

$27\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=27\sqrt2$

Report an Error

Example Question #264 : Quadrilaterals

Find the length of the diagonal of a square that has a side length of .

Possible Answers:

$23\sqrt2$

$46\sqrt2$

$54\sqrt2$

Correct answer:

$23\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=23\sqrt2$

Report an Error

Example Question #265 : Quadrilaterals

Find the length of the diagonal of a square with side lengths of 122 .

Possible Answers:

$122\sqrt2$

$244\sqrt2$

$61\sqrt2$

122

Correct answer:

$122\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=122\sqrt2$

Report an Error

Example Question #266 : Quadrilaterals

Find the length of the diagonal of a square that has side lengths of .

Possible Answers:

$70\sqrt2$

$35\sqrt2$

$17\sqrt2$

Correct answer:

$35\sqrt2$

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

$\text{Diagonal}=\sqrt{\text{side length}^2+\text{side length}^2}$

$\text{Diagonal}=\sqrt{2(\text{side length})^2}$

$\text{Diagonal}=(\text{side length})\sqrt2$

For the square given in the question,

$\text{Diagonal}=35\sqrt2$

Report an Error

Example Question #11 : How To Find The Length Of The Diagonal Of A Square

Find the length of the diagonal of a square whose side length is .

Possible Answers:

$8\sqrt{2}$

$16\sqrt{2}$

Correct answer:

$8\sqrt{2}$

Explanation:

To find the diagonal, you case use the pythagorean theorem or realize that this in isosceles triangle, and therefore the hypotenuse is

$s\sqrt{2}=8\sqrt{2}$

Report an Error

View Tutors

Kaitlyn
Certified Tutor

University of South Carolina, Bachelor in Arts, English.

View Tutors

Micah
Certified Tutor

University of Maryland-College Park, Bachelor of Science, Computer Science.

View Tutors

Charles
Certified Tutor

Capella University, Masters in Education, Special Education.

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Denver, SSAT Tutors in New York City, Chemistry Tutors in Washington DC, Statistics Tutors in San Diego, Chemistry Tutors in Boston, MCAT Tutors in Chicago, ACT Tutors in Atlanta, Physics Tutors in Dallas Fort Worth, Spanish Tutors in Philadelphia, GMAT Tutors in Philadelphia

Popular Courses & Classes

SAT Courses & Classes in Miami, GMAT Courses & Classes in Miami, GRE Courses & Classes in New York City, GRE Courses & Classes in Seattle, LSAT Courses & Classes in New York City, Spanish Courses & Classes in Los Angeles, GRE Courses & Classes in Chicago, Spanish Courses & Classes in Houston, SSAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Seattle

Popular Test Prep

ACT Test Prep in Washington DC, SSAT Test Prep in Houston, GRE Test Prep in Seattle, ACT Test Prep in Philadelphia, GRE Test Prep in Los Angeles, LSAT Test Prep in Philadelphia, ISEE Test Prep in Los Angeles, SAT Test Prep in Philadelphia, ISEE Test Prep in Boston, GRE Test Prep in New York City

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #251 : Quadrilaterals

Example Question #663 : Basic Geometry

Example Question #664 : Basic Geometry

Example Question #261 : Quadrilaterals

Example Question #262 : Quadrilaterals

Example Question #263 : Quadrilaterals

Example Question #264 : Quadrilaterals

Example Question #265 : Quadrilaterals

Example Question #266 : Quadrilaterals

Example Question #11 : How To Find The Length Of The Diagonal Of A Square

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: