We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem

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

← Previous 1 2 3 4 5 6 Next →

Example Question #991 : Basic Geometry

Find the length of the hypotenuse.

Possible Answers:

$6\sqrt2$

$2\sqrt3$

$6\sqrt3$

Correct answer:

$6\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{6^2+6^2}$

$\text{Hypotenuse}=\sqrt{36+36}$

Solve.

$\text{Hypotenuse}=\sqrt{72}$

Simplify.

$\text{Hypotenuse}=6\sqrt2$

Report an Error

Example Question #992 : Basic Geometry

Find the length of the hypotenuse.

Possible Answers:

$12\sqrt3$

$12\sqrt2$

$2\sqrt6$

$4\sqrt6$

Correct answer:

$12\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{12^2+12^2}$

$\text{Hypotenuse}=\sqrt{144+144}$

Solve.

$\text{Hypotenuse}{}=\sqrt{288}$

Simplify.

$\text{Hypotenuse}=12\sqrt2$

Report an Error

Example Question #13 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Find the length of the hypotenuse.

Possible Answers:

$13\sqrt2$

$\sqrt{26}$

$13\sqrt3$

Correct answer:

$13\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{13^2+13^2}$

$\text{Hypotenuse}=\sqrt{169+169}$

Solve.

$\text{Hypotenuse}=\sqrt{338}$

Simplify.

$\text{Hypotenuse}=13\sqrt2$

Report an Error

Example Question #993 : Basic Geometry

Find the length of the hypotenuse.

Possible Answers:

$14\sqrt2$

$2\sqrt7$

$7\sqrt7$

$14\sqrt3$

Correct answer:

$14\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{14^2+14^2}$

$\text{Hypotenuse}=\sqrt{196+196}$

Solve.

$\text{Hypotenuse}=\sqrt{392}$

Simplify.

$\text{Hypotenuse}=14\sqrt2$

Report an Error

Example Question #15 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Find the length of the hypotenuse.

Possible Answers:

$4\sqrt{10}$

$4\sqrt3$

$14\sqrt6$

$24\sqrt2$

Correct answer:

$24\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{24^2+24^2}$

$\text{Hypotenuse}=\sqrt{576+576}$

Solve.

$\text{Hypotenuse}=\sqrt{1152}$

Simplify.

$\text{Hypotenuse}=24\sqrt2$

Report an Error

Example Question #994 : Basic Geometry

Find the length of the hypotenuse.

Possible Answers:

$15\sqrt2$

$22\sqrt2$

$2\sqrt{11}$

$4\sqrt{10}$

Correct answer:

$22\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{22^2+22^2}$

$\text{Hypotenuse}=\sqrt{484+484}$

Solve.

$\text{Hypotenuse}=\sqrt{968}$

Simplify.

$\text{Hypotenuse}=22\sqrt2$

Report an Error

Example Question #995 : Basic Geometry

Find the length of the hypotenuse.

Possible Answers:

$25\sqrt2$

$5\sqrt2$

Correct answer:

$25\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{25^2+25^2}$

$\text{Hypotenuse}=\sqrt{625+625}$

Solve.

$\text{Hypotenuse}=\sqrt{1250}$

Simplify.

$\text{Hypotenuse}=25\sqrt2$

Report an Error

Example Question #11 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Find the length of the hypotenuse.

Possible Answers:

145

$145\sqrt3$

$145\sqrt2$

290

Correct answer:

$145\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{145^2+145^2}$

$\text{Hypotenuse}=\sqrt{21025+21025}$

Solve.

$\text{Hypotenuse}=\sqrt{42050}$

Simplify.

$\text{Hypotenuse}=145\sqrt2$

Report an Error

Example Question #12 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Find the length of the hypotenuse.

Possible Answers:

$19\sqrt3$

$19\sqrt2$

$28\sqrt2$

Correct answer:

$19\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{19^2+19^2}$

$\text{Hypotenuse}=\sqrt{361+361}$

Solve.

$\text{Hypotenuse}=\sqrt{722}$

Simplify.

$\text{Hypotenuse}=19\sqrt2$

Report an Error

Example Question #13 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Find the length of the hypotenuse.

Possible Answers:

$10\sqrt5$

$21\sqrt2$

$21\sqrt3$

$\sqrt{42}$

Correct answer:

$21\sqrt2$

Explanation:

To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of and and a hypotenuse of ,

c^2=a^2+b^2

$c=\sqrt{a^2+b^2}$

Now, plug in the values of and from the question.

$\text{Hypotenuse}=\sqrt{21^2+21^2}$

$\text{Hypotenuse}=\sqrt{441^2+441}$

Solve.

$\text{Hypotenuse}=\sqrt{882}$

Simplify.

$\text{Hypotenuse}=21\sqrt2$

Report an Error

← Previous 1 2 3 4 5 6 Next →

View Tutors

Vince
Certified Tutor

Salt Lake Community College, Associate in Science, Mathematics.

View Tutors

Muddasir
Certified Tutor

National University of Science and Technology (NUST), Bachelor, Electrical Engineering.

View Tutors

Leslie
Certified Tutor

University of Oklahoma Norman Campus, Bachelor in Arts, Public Relations with a minor in Constitutional Studies.

All Basic Geometry Resources

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

Popular Subjects

Biology Tutors in Houston, Algebra Tutors in Dallas Fort Worth, Biology Tutors in New York City, English Tutors in Dallas Fort Worth, Math Tutors in Denver, ISEE Tutors in Atlanta, French Tutors in New York City, Chemistry Tutors in Seattle, ISEE Tutors in New York City, ISEE Tutors in Miami

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, MCAT Courses & Classes in Seattle, ISEE Courses & Classes in Seattle, ISEE Courses & Classes in Miami, ISEE Courses & Classes in San Diego, LSAT Courses & Classes in Denver, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in Houston, ACT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Los Angeles

Popular Test Prep

MCAT Test Prep in Boston, MCAT Test Prep in New York City, LSAT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, ACT Test Prep in Philadelphia, GMAT Test Prep in New York City, LSAT Test Prep in Miami, SSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Seattle, ISEE Test Prep in San Francisco-Bay Area

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 : How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #991 : Basic Geometry

Example Question #992 : Basic Geometry

Example Question #13 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Example Question #993 : Basic Geometry

Example Question #15 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Example Question #994 : Basic Geometry

Example Question #995 : Basic Geometry

Example Question #11 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Example Question #12 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

Example Question #13 : How To Find The Length Of The Hypotenuse Of A 45/45/90 Right Isosceles Triangle : Pythagorean Theorem

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: