Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Geometry

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 An Acute / Obtuse Triangle

A triangle has an area of 56t and a base of . Find the height.

Possible Answers:

16t

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

$\text{Area}=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$56t=\frac{7t\times h}{2}$

112t=7t(h)

$h=\frac{112t}{7t}=\frac{112}{7}=16$

The height of the triangle is .

Report an Error

Example Question #151 : Properties Of Triangles

A triangle has an area of 121g and a base of 22g . Find the height.

Possible Answers:

11g

Correct answer:

Explanation:

Use the formula to find the area of a triangle.

$\text{Area}=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$121g=\frac{22g\times h}{2}$

242g=22g(h)

$h=\frac{242g}{22g}=\frac{242}{22}=11$

The height of the triangle is .

Report an Error

Example Question #11 : How To Find The Height Of An Acute / Obtuse Triangle

A triangle has an area of 64ft^2 and a base of 32ft . In feet, what is the height?

Possible Answers:

8ft

2ft

6ft

4ft

Correct answer:

4ft

Explanation:

Use the formula to find the area of a triangle.

$\text{Area}=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$64=\frac{32\times h}{2}$

128=32h

h=4

The height of the triangle is feet.

Report an Error

Example Question #4 : Geometry

Heron

Give the area of the above triangle.

Possible Answers:

800

1,125

675

900

450

Correct answer:

900

Explanation:

By Heron's formula, the area of a triangle given its sidelengths is

$A =\sqrt{ s (s-a) (s-b) (s-c)}$

Where a, b, c are the sidelengths and

$s = \frac{1}{2} (a+b+c)$ ,

or half the perimeter.

Setting a = 50, b = 45, c=85 ,

$s = \frac{1}{2} (a+b+c) = \frac{1}{2} (50+45+85) = 90$

Therefore,

$A =\sqrt{ s (s-a) (s-b) (s-c)}$

$A =\sqrt{90 (90 -50) (90 -45) (90 -85)}$

$A =\sqrt{90 \cdot 40 \cdot 45 \cdot 5 }$

$A =\sqrt{810,000 }$

A =900

Report an Error

Example Question #5 : Geometry

Heron

Give the area of the above triangle.

Possible Answers:

$30 \sqrt{ 14 }$

216

240

$60 \sqrt{7 }$

160

Correct answer:

$60 \sqrt{7 }$

Explanation:

By Heron's formula, the area of a triangle given its sidelengths is

$A =\sqrt{ s (s-a) (s-b) (s-c)}$ ,

where a, b, c are the sidelengths and

$s = \frac{1}{2} (a+b+c)$ ,

or half the perimeter.

Setting a = 16, b = 20, c=24 ,

$s = \frac{1}{2} (a+b+c) = \frac{1}{2} (16+20+24) = 30$ .

Therefore,

$A =\sqrt{ s (s-a) (s-b) (s-c)}$

$A =\sqrt{ 30 (30-16) (30-20) (30-24)}$

$A =\sqrt{ 30 \cdot 14 \cdot 10 \cdot 6 }$

$A = \sqrt{25,200 }$

$A = \sqrt{3,600 } \cdot\sqrt{7}$

$A = 60 \sqrt{7 }$

Report an Error

Example Question #3 : How To Find The Area Of An Acute / Obtuse Triangle

The base of the triangle is . The height of the triangle is a multiple of between and . What is the area of the triangle?

Possible Answers:

120

Correct answer:

Explanation:

First, find the height of the triangle by listing out the multiples of .

8: 8, 16, 24, 32

Since is the only multiple of that is between and , it must be the height.

Now, find the area of the triangle.

$\text{Area}=\frac{5\times24}{2}=60$

Report an Error

Example Question #2 : How To Find The Area Of An Acute / Obtuse Triangle

The base of an obtuse triangle is , and the height is . What is the area of the triangle?

Possible Answers:

240

160

180

120

Correct answer:

120

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{20\times 12}{2}=\frac{240}{2}=120$

The area of the triangle is 120 .

Report an Error

Example Question #3 : How To Find The Area Of An Acute / Obtuse Triangle

The height of an acute triangle is , and the base is . What is the area of this triangle?

Possible Answers:

560

360

490

280

Correct answer:

280

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{40\times14}{2}=\frac{560}{2}=280$

The area of the triangle is 280 .

Report an Error

Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

The base of a triangle is , and the height is . In terms of , what is the area of the triangle?

Possible Answers:

9t^2

20t^2

10t^2

Correct answer:

10t^2

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{4t\times 5t}{2}=\frac{20t^2}{2}=10t^2$

The area of the triangle is 10t^2 .

Report an Error

Example Question #5 : How To Find The Area Of An Acute / Obtuse Triangle

The base of a triangle is , and the height is . What is the area of this triangle?

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{4\times20}{2}=\frac{80}{2}=40$

The area of the triangle is .

Report an Error

View SSAT- Upper Level Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View SSAT- Upper Level Tutors

Nnang
Certified Tutor

Columbia University in the City of New York, Bachelor of Science, Economics.

View SSAT- Upper Level Tutors

Sara
Certified Tutor

Yale University, Bachelors, Theatre and French. Indiana University-Bloomington, PHD, Theatre History, Anthropology.

All SSAT Upper Level Math Resources

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

Popular Subjects

English Tutors in Phoenix, Reading Tutors in Los Angeles, French Tutors in Dallas Fort Worth, Math Tutors in Los Angeles, SAT Tutors in Washington DC, Physics Tutors in Boston, ISEE Tutors in San Diego, SSAT Tutors in Philadelphia, Calculus Tutors in Denver, French Tutors in San Diego

Popular Courses & Classes

SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Seattle, ISEE Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Miami, Spanish Courses & Classes in Phoenix, GMAT Courses & Classes in Boston, Spanish Courses & Classes in Miami, SSAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Boston, SAT Courses & Classes in Houston

Popular Test Prep

SSAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Phoenix, SAT Test Prep in Denver, SSAT Test Prep in Washington DC, GMAT Test Prep in San Diego, GMAT Test Prep in Chicago, GRE Test Prep in Dallas Fort Worth, SSAT Test Prep in Boston, SSAT Test Prep in Los Angeles, GMAT Test Prep in Boston

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 : Geometry

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 An Acute / Obtuse Triangle

Example Question #151 : Properties Of Triangles

Example Question #11 : How To Find The Height Of An Acute / Obtuse Triangle

Example Question #4 : Geometry

Example Question #5 : Geometry

Example Question #3 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #2 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #3 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #5 : How To Find The Area Of An Acute / Obtuse Triangle

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: