Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Lower Level Math : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Math

Create An Account

All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #23 : How To Find The Area Of A Triangle

Find the area of a triangle with a base of 3 feet and a height that is two times the base.

Possible Answers:

$9\text{ft}^2$

$15\text{ft}$

$18\text{ft}$

$18\text{ft}^2$

$9\text{ft}$

Correct answer:

$9\text{ft}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 3 feet. We also know the height of the triangle is two times the base. Therefore, the height is 6 feet. Knowing all of this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 3\text{ft} \cdot 6\text{ft}$

$\text{area of triangle} = \frac{1}{2} \cdot 18\text{ft}^2$

$\text{area of triangle} = \frac{1}{2} \cdot \frac{18\text{ft}^2}{1}$

$\text{area of triangle} = \frac{1 \cdot 18\text{ft}^2}{2 \cdot 1}$

$\text{area of triangle} = \frac{18\text{ft}^2}{2}$

$\text{area of triangle} = 9\text{ft}^2$

Report an Error

Example Question #22 : How To Find The Area Of A Triangle

What is the area of a equilateral triangle with a side length of and a height of ?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

An equilateral triangle has three equal length sides so all the sides must be .

The area of a triangle is

$area= \frac{1}{2}*base*height$ .

The base is and the height is so,

$\\area=\frac{1}{2}*6*5 \\ \\area=\frac{1}{2}*30 \\ \\ area=15$

Report an Error

Example Question #23 : How To Find The Area Of A Triangle

Find the area of a triangle with a base of 6cm and a height of 7cm.

Possible Answers:

$13\text{cm}^2$

$21\text{cm}^2$

$13\text{cm}$

$21\text{cm}$

$20\text{cm}^2$

Correct answer:

$21\text{cm}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

So, we know the base is 6cm and the height is 7cm. Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 6\text{cm} \cdot 7\text{cm}$

$\text{area of triangle} = \frac{1}{2} \cdot 42\text{cm}^2$

$\text{area of triangle} = \frac{1}{2} \cdot \frac{42\text{cm}^2}{1}$

$\text{area of triangle} = \frac{1 \cdot 42\text{cm}^2}{2 \cdot 1}$

$\text{area of triangle} = \frac{42\text{cm}^2}{2}$

$\text{area of triangle} = 21\text{cm}^2$

Report an Error

Example Question #1251 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the area of a triangle with a base of 3in and a height that is two times the base.

Possible Answers:

$9\text{in}$

$9\text{in}^2$

$12\text{in}^2$

$18\text{in}^2$

$18\text{in}$

Correct answer:

$9\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle

Now, we know the base of the triangle is 3in. We also know the height of the triangle is two times the base. Therefore, the height is 6in. Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 3\text{in} \cdot 6\text{in}$

$\text{area of triangle} = \frac{1}{2} \cdot 18\text{in}^2$

$\text{area of triangle} = \frac{1}{2} \cdot \frac{18\text{in}^2}{1}$

$\text{area of triangle} = \frac{1 \cdot 18\text{in}^2}{2 \cdot 1}$

$\text{area of triangle} = \frac{18\text{in}^2}{2}$

$\text{area of triangle} = 9\text{in}^2$

Report an Error

Example Question #322 : Geometry

Use the following triangle to answer the question:

Triangle1

Find the area of the triangle if it has a height of 8 inches.

Possible Answers:

$17\text{in}^2$

$12\text{in}^2$

$30\text{in}^2$

$18\text{in}^2$

$24\text{in}^2$

Correct answer:

$12\text{in}^2$

Explanation:

To find the area of a triangle, we use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, let's look at the triangle

Triangle1

We can see the base is 3in. We also know it has a height of 8in.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 3\text{in} \cdot 8\text{in}$

$\text{area of triangle} = \frac{1}{2} \cdot 24\text{in}^2$

$\text{area of triangle} = \frac{1}{2} \cdot \frac{24\text{in}^2}{1}$

$\text{area of triangle} = \frac{1 \cdot 24\text{in}^2}{2 \cdot1}$

$\text{area of triangle} = \frac{24\text{in}^2}{2}$

$\text{area of triangle} = 12\text{in}^2$

Report an Error

Example Question #24 : How To Find The Area Of A Triangle

Use the following triangle to answer the question:

Triangle5

If the triangle has a height of 9ft, find the area.

Possible Answers:

$32\text{ft}^2$

$63\text{ft}^2$

$28\text{ft}^2$

$36\text{ft}^2$

$18\text{ft}^2$

Correct answer:

$18\text{ft}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, given the triangle

Triangle5

we can see the base is 4ft. We also know it has a height of 9ft.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 4\text{ft} \cdot 9\text{ft}$

$\text{area of triangle} = \frac{1}{2} \cdot 36\text{ft}^2$

$\text{area of triangle} = \frac{1}{2} \cdot \frac{36\text{ft}^2}{1}$

$\text{area of triangle} = \frac{1 \cdot 36\text{ft}^2}{2 \cdot 1}$

$\text{area of triangle} = \frac{36\text{ft}^2}{2}$

$\text{area of triangle} = 18\text{ft}^2$

Report an Error

Example Question #31 : Triangles

Find the area of a triangle with a base of 9in and a height of 12in.

Possible Answers:

$21\text{in}^2$

$54\text{in}^2$

$33\text{in}^2$

$108\text{in}^2$

$27\text{in}^2$

Correct answer:

$54\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 9in. We also know the height of the triangle is 12in.

Knowing this, we can substitute into the formula We get

$\text{area of triangle} = \frac{1}{2} \cdot 9\text{in} \cdot 12\text{in}$

Now, we can simplify things before we multiply to make things easier. The 2 in the denominator of the fraction and the 12 can both be divided by 2. So, we get

$\text{area of triangle} = \frac{1}{1} \cdot 9\text{in} \cdot 6\text{in}$

$\text{area of triangle} = 9\text{in} \cdot 6\text{in}$

$\text{area of triangle} = 54\text{in}^2$

Report an Error

Example Question #31 : How To Find The Area Of A Triangle

Find the area of a triangle with a base of 4ft and a height that is two times the base.

Possible Answers:

$16\text{ft}^2$

$4\text{ft}^2$

$32\text{ft}^2$

$8\text{ft}^2$

$24\text{ft}^2$

Correct answer:

$16\text{ft}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is is 4ft. We also know the height of the triangle is two times the base. Therefore, the height is 8ft.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 4\text{ft} \cdot 8\text{ft}$

$\text{area of triangle} = 2\text{ft} \cdot 8\text{ft}$

$\text{area of triangle} = 16\text{ft}^2$

Report an Error

Example Question #33 : Triangles

Use the following triangle to answer the question.

Triangle7

If the triangle has a height of 7cm, find the area.

Possible Answers:

$32\text{cm}^2$

$24\text{cm}^2$

$16\text{cm}^2$

$28\text{cm}^2$

$14\text{cm}^2$

Correct answer:

$14\text{cm}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, given the triangle

Triangle7

We can see the base is 4cm. We also know the height is 7cm.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 4\text{cm} \cdot 7\text{cm}$

$\text{area of triangle} = 2\text{cm} \cdot 7\text{cm}$

$\text{area of triangle} = 14\text{cm}^2$

Report an Error

Example Question #31 : How To Find The Area Of A Triangle

Find the area of a triangle with a base of 9cm and a height of 8cm.

Possible Answers:

$36\text{cm}$

$36\text{cm}^2$

$72\text{cm}$

$72\text{cm}^2$

$17\text{cm}^2$

Correct answer:

$36\text{cm}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base is 9cm and the height is 8cm.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 9\text{cm} \cdot 8\text{cm}$

$\text{area of triangle} = 9\text{cm} \cdot 4\text{cm}$

$\text{area of triangle} = 36\text{cm}^2$

Report an Error

View Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

View Tutors

Sean
Certified Tutor

University of the West Indies, Bachelor of Science, Management Information Systems. University of the West Indies, Masters in...

View Tutors

Lilian Natalia
Certified Tutor

University of Texas Rio Grande Valley, Bachelor of Science, Mechanical Engineering. University of Texas Rio Grande Valley, Ma...

All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in Miami, Math Tutors in Denver, Chemistry Tutors in Houston, MCAT Tutors in Denver, Statistics Tutors in Chicago, Physics Tutors in Chicago, Statistics Tutors in Boston, LSAT Tutors in San Diego, Spanish Tutors in Dallas Fort Worth, Chemistry Tutors in Miami

Popular Courses & Classes

GMAT Courses & Classes in Washington DC, Spanish Courses & Classes in Houston, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in Boston, LSAT Courses & Classes in Boston, ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in New York City, Spanish Courses & Classes in Los Angeles, GRE Courses & Classes in Phoenix, ACT Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in San Diego, GRE Test Prep in San Francisco-Bay Area, LSAT Test Prep in Los Angeles, SAT Test Prep in San Diego, SAT Test Prep in Phoenix, SSAT Test Prep in Miami, GMAT Test Prep in Atlanta, SAT Test Prep in Seattle, SAT Test Prep in Washington DC, ACT Test Prep in Chicago

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

ISEE Lower Level Math : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #23 : How To Find The Area Of A Triangle

Example Question #22 : How To Find The Area Of A Triangle

Example Question #23 : How To Find The Area Of A Triangle

Example Question #1251 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #322 : Geometry

Example Question #24 : How To Find The Area Of A Triangle

Example Question #31 : Triangles

Example Question #31 : How To Find The Area Of A Triangle

Example Question #33 : Triangles

Example Question #31 : How To Find The Area Of A Triangle

All ISEE Lower Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: