We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : How to find the height of a triangle

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Height Of A Triangle

The side of an equilateral triangle, in feet, is . What is the height of this triangle?

Possible Answers:

$18\sqrt3$

$9\sqrt3$

Correct answer:

$9\sqrt3$

Explanation:

The triangle in question looks like this:

Triangle

The height of a triangle will always cut one of the sides of an equilateral triangle in half. Now, to find the length of the height is just a matter of using the Pythagorean Theorem.

$9^2+\text{height}^2=18^2$

$\text{height}^2=243$

$\text{height}=9\sqrt3$

Report an Error

Example Question #1 : How To Find The Height Of A Triangle

The length of a side of an equilateral triangle is feet. In feet, what is the height of this triangle?

Possible Answers:

$7\sqrt3$

$14\sqrt3$

Correct answer:

$7\sqrt3$

Explanation:

The given equilateral should look similar:

Triangle

Because the height of an equilateral triangle always cuts a side length in half, figuring out the height becomes a matter of applying the Pythagorean Theorem.

$\text{height}^2+7^2=14^2$

$\text{height}^2=147$

$\text{height}=7\sqrt3$

Report an Error

Example Question #3 : How To Find The Height Of A Triangle

The length of a side of an equilateral triangle is centimeters. In centimeters, what is the length of the height of this triangle?

Possible Answers:

$5\sqrt3$

$10\sqrt3$

Correct answer:

$5\sqrt3$

Explanation:

Draw out the equilateral triangle:

Triangle

Since the height of an equilateral triangle will always cut one of the sides in half, find the height using the Pythagorean Theorem.

$\text{height}^2+5^2=10^2$

$\text{height}^2=75$

$\text{height}=5\sqrt3$

Report an Error

Example Question #74 : Properties Of Triangles

The length of a side of an equilateral triangle is . Find the length of the height of this triangle.

Possible Answers:

$\sqrt3$

$\text{Cannot determine with the given information}$

$x\sqrt3$

Correct answer:

$x\sqrt3$

Explanation:

Draw out and label the triangle.

Triangle

Even though you are given exponents for the lengths of this triangle, use the Pythagorean Theorem to solve it. The height of an equilateral triangle will always cut one of its bases in half.

$\text{height}^2+x^2=(2x)^2$

$\text{height}^2=3x^2$

$\text{height}=x\sqrt3$

Report an Error

Example Question #74 : Properties Of Triangles

Find the height of an equilateral triangle that has side lengths of 12r .

Possible Answers:

$6\sqrt3$

$r\sqrt3$

$6r\sqrt3$

$12r\sqrt3$

Correct answer:

$6r\sqrt3$

Explanation:

Draw out and label the triangle.

Triangle

Since the height of an equilateral triangle will always cut its base in half, use the Pythagorean Theorem to find the height.

$\text{height}^2+(6r)^2=(12r)^2$

$\text{height}^2=108r^2$

$\text{height}=6r\sqrt3$

Report an Error

Example Question #76 : Properties Of Triangles

Find the height of an equilateral triangle that has a side length of 20z .

Possible Answers:

$10\sqrt3$

$10z\sqrt3$

$z\sqrt3$

$20z\sqrt3$

Correct answer:

$10z\sqrt3$

Explanation:

Draw and label this triangle:

Triangle

Since the height of an equilateral triangle always cuts its base in half, use the Pythagorean Theorem to find the height of the triangle.

$\text{height}^2+(10z)^2=(20z)^2$

$\text{height}^2=300z^2$

$\text{height}=10z\sqrt3$

Report an Error

Example Question #81 : Properties Of Triangles

Find the height of an equilateral triangle, in yards, that has side lengths of yards.

Possible Answers:

$28\sqrt3$

$14\sqrt3$

Correct answer:

$14\sqrt3$

Explanation:

Triangle

Since the height of an equilateral triangle cuts the base in half, use the Pythagorean Theorem to find the height.

$\text{height}^2+14^2=28^2$

$\tet{height}^2=588$

$\text{height}=14\sqrt3$

Report an Error

Example Question #21 : Equilateral Triangles

An equilateral triangle has sides of length . Find the measure of the height for this triangle.

Possible Answers:

$3\sqrt2$

$3\sqrt3$

$\sqrt3$

Correct answer:

$3\sqrt3$

Explanation:

Triangle

The height of an equilateral triangle will always cut the side it intersects in half. Now, this is just a matter of applying the Pythagorean Theorem.

$6^2=3^2+\text{height}^2$

$\text{height}^2=27$

$\text{height}=3\sqrt3$

Report an Error

View SSAT- Upper Level Tutors

Grace
Certified Tutor

University of Evansville, Bachelor of Science, Archaeology.

View SSAT- Upper Level Tutors

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

View SSAT- Upper Level Tutors

Carneta
Certified Tutor

Langston University, Bachelor in Arts, Theater Arts.

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in New York City, Spanish Tutors in Miami, GMAT Tutors in Seattle, LSAT Tutors in Dallas Fort Worth, GRE Tutors in Denver, Physics Tutors in Chicago, ISEE Tutors in Washington DC, SSAT Tutors in Washington DC, English Tutors in Boston, ISEE Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Atlanta, ACT Courses & Classes in Boston, SSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Denver, SSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Miami, ACT Courses & Classes in Miami, GMAT Courses & Classes in New York City, ISEE Courses & Classes in Atlanta, GRE Courses & Classes in Los Angeles

Popular Test Prep

GRE Test Prep in Phoenix, GMAT Test Prep in Los Angeles, MCAT Test Prep in Washington DC, SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Miami, SSAT Test Prep in Washington DC, GMAT Test Prep in Denver, GRE Test Prep in Atlanta, ACT Test Prep in Boston, SAT Test Prep in Seattle

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

SSAT Upper Level Math : How to find the height of a triangle

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : How To Find The Height Of A Triangle

Example Question #1 : How To Find The Height Of A Triangle

Example Question #3 : How To Find The Height Of A Triangle

Example Question #74 : Properties Of Triangles

Example Question #74 : Properties Of Triangles

Example Question #76 : Properties Of Triangles

Example Question #81 : Properties Of Triangles

Example Question #21 : Equilateral Triangles

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: