Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Triangles

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 #94 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Tri 4

Find the length of the hypotenuse of the right triangle.

Possible Answers:

12.5

7.745

Correct answer:

Explanation:

To find the length of the hypotenuse, we will use the Pythagorean Theorem

a^2+b^2=c^2 .

In this formula, c represents the hypotenuse whereas a and b represent the base and height of the right triangle.

So, first we must square the values of the given sides of the triangle.

5^2=25

and

12^2=144 .

Next, we must add these two solutions to get 169 .

The hypotenuse will be the square root of this number, so using our calculator we can estimate the length of the hypotenuse to be the decimal:

$\sqrt{169}\approx13$ .

This example is another instance of a Pythagorean triple to keep in mind.

Report an Error

Example Question #136 : Right Triangles

Tri 7

Find the length of the hypotenuse of the right triangle.

Possible Answers:

120

Correct answer:

Explanation:

To find the length of the hypotenuse, we will use the Pythagorean Theorem

a^2+b^2=c^2 .

In this formula, c represents the hypotenuse whereas a and b represent the base and height of the right triangle.

So, first we must square the values of the given sides of the triangle.

15^2=225

and

8^2=64 .

Next, we must add these two solutions to get 289 .

The hypotenuse will be the square root of this number, so using our calculator we can estimate the length of the hypotenuse to be the decimal:

$\sqrt{289}=17.$

Report an Error

Example Question #95 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Tri 10

Find the length of the hypotenuse of the right triangle.

Possible Answers:

43.829

37.21

70.81

Correct answer:

43.829

Explanation:

To find the length of the hypotenuse, we will use the Pythagorean Theorem

a^2+b^2=c^2 .

In this formula, c represents the hypotenuse whereas a and b represent the base and height of the right triangle.

So, first we must square the values of the given sides of the triangle.

25^2=625

and

36^2=1296 .

Next, we must add these two solutions to get 1921 .

The hypotenuse will be the square root of this number, so using our calculator we can estimate the length of the hypotenuse to be the decimal:

$\sqrt{1921}\approx43.829$ .

Report an Error

Example Question #92 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Tri 12

Find the length of the hypotenuse of the above right triangle.

Possible Answers:

$\sqrt{14s^2}$

$\sqrt{53s}$

$\sqrt{18s^2}$

$\sqrt{49s^2}$

$\sqrt{53s^2}$

Correct answer:

$\sqrt{53s^2}$

Explanation:

Using the Pythagorean Theorem

a^2+b^2=c^2 ,

we can find the length of the hypotenuse in terms of variables.

First, square both given sides and add them together. Next, take the square root of that sum to find the length of the hypotenuse in terms of s.

The calculation should look like this:

$(7s)^2+(2s)^2=49s^2+4s^2=53s^2=\sqrt{53s^2}$

Report an Error

Example Question #97 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the length of the hypotenuse of a right triangle whose other sides are 5cm and 12cm?

Possible Answers:

18cm

4.24cm

7cm

60cm

13cm

Correct answer:

13cm

Explanation:

Use Pythagorean Theorem

a^2+b^2=c^2

a and b are the sides of the triangle

(5)^2+(12)^2=c^2

c^2=169

c=13

Report an Error

Example Question #101 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Prblem 6 basic geometry

Find the length of the hypotenuse in triangle ABC

Possible Answers:

$\sqrt{400}inches$

$\sqrt{256}inches$

$15\ inches$

$91\ inches$

$\sqrt{365}inches$

Correct answer:

$\sqrt{365}inches$

Explanation:

To find the length of the hypotenuse, use the Pythagorean Theorem.

a^2+b^2=c^2

a=14 inches

b=13 inches

c=???

14^2+13^2=c^2

196 + 169 = 365

365=c^2

Now take the square root of both sides.

$\sqrt{365}=c$

Report an Error

Example Question #102 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Three sides of a right triangle are A,B, and C. Side C is the hypotenuse.

A=3 . B=4 . Find .

Possible Answers:

C=5

C=4

C=7

C=25

Correct answer:

C=5

Explanation:

To solve for the value of c, you would use the Pythagorean theorem, which states

A^2+B^2=C^2 .

Plugging in the values we have, we get

3^2+4^2=C^2 .

To solve for c, we take the square root of both sides.

$\sqrt{3^2+4^2}=\sqrt {C^2}$ .

$\sqrt{25}=5=C$ .

Report an Error

Example Question #103 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

What is the hypotenuse, , of a triangle whose other sides are A=9 and B=40 .

Possible Answers:

C=40

C=42

C=41

C=20

Correct answer:

C=41

Explanation:

To find the length of the hypotenuse, we must use the Pythagorean Theorem,

A^2+B^2=C^2 .

Using the values given,

$9^2+41^2=C^2\rightarrowC=\sqrt{81+1681}=42$ .

Report an Error

Example Question #101 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Find the length of the hypotenuse of a triangle with legs 3 and 7.

Possible Answers:

$\sqrt{52}$

$\sqrt{40}$

$\sqrt{58}$

Correct answer:

$\sqrt{58}$

Explanation:

Use Pythagorean Theorem: 3^2 + 7^2 = c^2

9 + 49 = c^2

58 = c^2

$\sqrt{58 } = c$

Report an Error

Example Question #104 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Shape area right triangle

In the right triangle shown here, a=8 and b=15 . What is the length of the remaining side?

Possible Answers:

Correct answer:

Explanation:

By the Pythagorean Theorem, the relationship between a right triangle's height , its base , and its hypotenuse is given by

a^2+b^2=c^2 .

Here, a=8 and b=15 . The length of the remaining side can be calculated as follows:

a^2+b^2=c^2

8^2+15^2=c^2

64+225=c^2

289=c^2

$\Rightarrow c= \sqrt{289}=17$ .

Hence, the length of this right triangle's hypotenuse is units.

Report an Error

View Tutors

Maria de Lourdes
Certified Tutor

Universidad Autonoma del Estado de Mexico, Bachelor of Science, Prelaw Studies. Instituto Universitario del Estado de Mexico,...

View Tutors

Gary
Certified Tutor

SUNY at Albany, Bachelor of Science, Economics. Pace University-New York, Masters in Business Administration, Analysis and Fu...

View Tutors

Monse
Certified Tutor

California intercontinental University, Master's/Graduate, MBA with a specialization in international management and marketing.

All Basic Geometry Resources

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

Popular Subjects

Statistics Tutors in San Francisco-Bay Area, Calculus Tutors in Denver, GRE Tutors in Denver, Calculus Tutors in New York City, SAT Tutors in Boston, Algebra Tutors in Dallas Fort Worth, Computer Science Tutors in Houston, English Tutors in Denver, Algebra Tutors in Denver, Algebra Tutors in Miami

Popular Courses & Classes

ACT Courses & Classes in Houston, MCAT Courses & Classes in New York City, MCAT Courses & Classes in Boston, LSAT Courses & Classes in Chicago, Spanish Courses & Classes in Denver, LSAT Courses & Classes in San Diego, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Los Angeles, SAT Courses & Classes in Washington DC

Popular Test Prep

GMAT Test Prep in Boston, MCAT Test Prep in Boston, ACT Test Prep in Houston, MCAT Test Prep in Philadelphia, ISEE Test Prep in Washington DC, MCAT Test Prep in Denver, GMAT Test Prep in Miami, ISEE Test Prep in Houston, SAT Test Prep in Washington DC, MCAT Test Prep in Washington DC

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 : Triangles

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #94 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #136 : Right Triangles

Example Question #95 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #92 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #97 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #101 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #102 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #103 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #101 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #104 : How To Find The Length Of The Hypotenuse Of A Right 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: