Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : Triangles

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #22 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Righttriangle

Triangle ABC is a right triangle. If the length of side A = 3 inches and C = 5 inches, what is the length of side B?

Possible Answers:

1/2 inches

6 inches

1 inches

4.5 inches

4 inches

Correct answer:

4 inches

Explanation:

Using the Pythagorean Theorem, we know that $a^{2} + b^{2} = c^{2}$ .

This gives:

$3^{2} + b^{2} = 5^{2}$

$9 + b^{2} = 25$

Subtracting 9 from both sides of the equation gives:

$b^{2} = 16$

b = 4 inches

Righttriangle

Report an Error

Example Question #61 : Sat Mathematics

Righttriangle

Triangle ABC is a right triangle. If the length of side A = 8 inches and B = 11 inches, find the length of the hypoteneuse (to the nearest tenth).

Possible Answers:

13.7 inches

14.2 inches

184 inches

185 inches

13.6 inches

Correct answer:

13.6 inches

Explanation:

Using the Pythagrean Theorem, we know that $a^{2} + b^{2} = c^{2}$ .

This tells us:

$8^{2} + 11^{2} = C^{2}$

$64 + 121 = C^{2}$

$185 = C^{2}$

Taking the square root of both sides, we find that C = 13.6 inches

Report an Error

Example Question #21 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Righttriangle

Given:

A = 6 feet

B = 9 feet

What is the length of the hypoteneuse of the triangle (to the nearest tenth)?

Possible Answers:

10.5 feet

10.6 feet

10.8 feet

10.2 feet

10.1 feet

Correct answer:

10.8 feet

Explanation:

Using the Pythagrean Theorem, we know that $a^{2} + b^{2} = c^{2}$ .

This tells us:

$6^{2} + 9^{2} = C^{2}$

$36 + 81 = C^{2}$

$117 = C^{2}$

Taking the square root of both sides, we find that C = 10.8

Report an Error

Example Question #62 : Sat Mathematics

Righttriangle

Given:

A = 2 miles

B = 3 miles

What is the length of the hypoteneuse of triangle ABC, to the nearest tenth?

Possible Answers:

3.5 miles

3.7 miles

3.6 miles

3.2 miles

3.4 miles

Correct answer:

3.6 miles

Explanation:

Using the Pythagrean Theorem, we know that $a^{2} + b^{2} = c^{2}$ .

This tells us:

$2^{2} + 3^{2} = C^{2}$

$4 + 9 = C^{2}$

$13 = C^{2}$

Taking the square root of both sides, we find that C = 3.6

Report an Error

Example Question #24 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Given that two sides of a right triangle measure 2 feet and 3 feet, respectively, with a hypoteneuse of x, what is the perimeter of this right triangle (to the nearest tenth)?

Possible Answers:

8.6 feet

3.6 feet

6.4 feet

9.4 feet

18 feet

Correct answer:

8.6 feet

Explanation:

Using the Pythagrean Theorem, we know that $a^{2} + b^{2} = c^{2}$ .

This tells us:

$2^{2} + 3^{2} = C^{2}$

$4 + 9 = C^{2}$

$13 = C^{2}$

Taking the square root of both sides, we find that C = 3.6

To find the perimeter, we add the side lengths together, which gives us that the perimeter is: 3 + 2 + 3.6 = 8.6

Report an Error

Example Question #25 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

$In\;\Delta GHJ, \;what\;is\;the\;length\;of\;\overline{GJ}?$

Possible Answers:

Correct answer:

Explanation:

$Use\;the\;Pythagorean\;Theorem:A^2+B^2=C^2,\;to\; find\;\overline{GJ}.$

5^2+12^2=C^2

25+144=C^2

169=C^2

$C=\sqrt{169}=13$

Report an Error

Example Question #51 : Triangles

Kathy and Jill are travelling from their home to the same destination. Kathy travels due east and then after travelling 6 miles turns and travels 8 miles due north. Jill travels directly from her home to the destination. How miles does Jill travel?

Possible Answers:

$\dpi{100} \small 10\ miles$

$\dpi{100} \small 8\ miles$

$\dpi{100} \small 12\ miles$

$\dpi{100} \small 14\ miles$

$\dpi{100} \small 16\ miles$

Correct answer:

$\dpi{100} \small 10\ miles$

Explanation:

Kathy's path traces the outline of a right triangle with legs of 6 and 8. By using the Pythagorean Theorem

$\dpi{100} \small 6^{2}+8^{2}=x^{2}$

$\dpi{100} \small 36+64=x^{2}$

$\dpi{100} \small x=10$ miles

Report an Error

Example Question #52 : Triangles

$Which\; of \;the \;following \;is\; NOT\; true\; about \;the \;hypotenuse \;of \;a\; triangle?$

Possible Answers:

$It\;is\;always\;across\;from\;the\;largest\;angle\;in\;the\;triangle.$

$It\;is\;across\;from\;the\;right\;angle.$

$It\;is\;the\;longest\;side.$

$It\;is\;always\;greater\;than\;1.$

Correct answer:

$It\;is\;always\;greater\;than\;1.$

Explanation:

$The\;hypotenuse\;can\;be\;between\;0\;and\;1.$

Report an Error

Example Question #26 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

In order to get to work, Jeff leaves home and drives 4 miles due north, then 3 miles due east, followed by 6 miles due north and, finally, 7 miles due east. What is the straight line distance from Jeff’s work to his home?

Possible Answers:

6√2

2√5

10√2

Correct answer:

10√2

Explanation:

Jeff drives a total of 10 miles north and 10 miles east. Using the Pythagorean theorem (a²+b²=c²), the direct route from Jeff’s home to his work can be calculated. 10²+10²=c². 200=c². √200=c. √100√2=c. 10√2=c

Report an Error

Example Question #61 : Triangles

Jim leaves his home and walks 10 minutes due west and 5 minutes due south. If Jim could walk a straight line from his current position back to his house, how far, in minutes, is Jim from home?

Possible Answers:

5√5

√5

6√6

√10

Correct answer:

5√5

Explanation:

By using Pythagorean Theorem, we can solve for the distance “as the crow flies” from Jim to his home:

10² + 5² = x²

100 + 25 = x²

√125 = x, but we still need to factor the square root

√125 = √25*5, and since the √25 = 5, we can move that outside of the radical, so

5√5= x

Report an Error

View SAT Mathematics Tutors

Clinton
Certified Tutor

Rensselaer Polytechnic Institute, Current Undergrad, Biology, General. Albany Medical College, PHD, Molecular and Cellular Ph...

View SAT Mathematics Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View SAT Mathematics Tutors

Sharif
Certified Tutor

NCCU, Bachelors, Physics and Mathematics.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

Atlanta SAT Math Tutors, Austin SAT Math Tutors, Boston SAT Math Tutors, Chicago SAT Math Tutors, Dallas Fort Worth SAT Math Tutors, Denver SAT Math Tutors, Houston SAT Math Tutors, Kansas City SAT Math Tutors, Los Angeles SAT Math Tutors, Miami SAT Math Tutors, New York City SAT Math Tutors, Philadelphia SAT Math Tutors, Phoenix SAT Math Tutors, San Diego SAT Math Tutors, San Francisco-Bay Area SAT Math Tutors, Seattle SAT Math Tutors, St. Louis SAT Math Tutors, Tucson SAT Math Tutors, Washington DC SAT Math Tutors

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, LSAT Courses & Classes in New York City, SAT Courses & Classes in New York City, MCAT Courses & Classes in San Diego, LSAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Miami, Spanish Courses & Classes in Seattle, ACT Courses & Classes in Houston, GRE Courses & Classes in Houston, MCAT Courses & Classes in Seattle

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Seattle, GRE Test Prep in Boston, GMAT Test Prep in Boston, SAT Test Prep in Miami, GRE Test Prep in Houston, ACT Test Prep in San Diego, ACT Test Prep in Houston, SSAT Test Prep in Denver, SSAT 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

SAT Math : Triangles

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #22 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #61 : Sat Mathematics

Example Question #21 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #62 : Sat Mathematics

Example Question #24 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #25 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #51 : Triangles

Example Question #52 : Triangles

Example Question #26 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

Example Question #61 : Triangles

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: