ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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Example Questions

Example Question #2 : How To Find The Perimeter Of A Triangle

An equilateral triangle has perimeter  centimeters. How long is one side?

Possible Answers:

Correct answer:

Explanation:

An equilateral triangle has three sides of equal measure, so divide its perimeter by :

Example Question #1 : Geometry

Find the perimeter of a right triangle, whose two legs are 5 and 12.

Possible Answers:

Correct answer:

Explanation:

To solve, you must first use the Pythagorean Theorem to solve for the hypotenuse and then add that value to the two perimeter values given.

Thus,

Example Question #5 : How To Find The Perimeter Of A Triangle

If an equilateral triangle has a perimeter of , what is the length of one of its sides?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

An equilateral triangle has three equal length sides.  

The perimeter of a triangle is all the sides added together.  

Since all the sides are the same length the equation 

 

is equal to 

.  

To find the side length, you just need to divide the perimeter by  which is 

.

Example Question #6 : Triangles

Find the perimeter of an equilateral triangle that has a side with a length of 11 inches.

Possible Answers:

Correct answer:

Explanation:

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

where a, b, and c are the sides of the triangle.  

Now, we know the triangle is equilateral.  This means that each side of the triangle is the same length.  We know one side is 11 inches.  Therefore, all sides are 11 inches.  Knowing this, we can substitute.  We get

Example Question #1 : Geometry

Find the perimeter of an equilateral triangle whose side measures 14 meters.

Possible Answers:

Cannot be determined from the information provided.

Correct answer:

Explanation:

Find the perimeter of an equilateral triangle whose side measures 14 meters.

The perimeter of a shape is simply the distance around it. 

An equilateral triangle has three equal sides.

To find the perimeter in this case, simply multiply one side by 3.

So our answer is 42 meters.

Example Question #11 : Triangles

Find the perimeter of an equilateral triangle that has a base of length 9cm.

Possible Answers:

Correct answer:

Explanation:

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

where a, b, and c are the lengths of the sides of the triangle.

 

We know we have an equilateral triangle.  This means that all of the sides of the triangle are equal or the same length.  We know the base has a length of 9cm.  Therefore, all sides are 9cm.  Knowing this, we can substitute into the formula.  We get

Example Question #1831 : Isee Middle Level (Grades 7 8) Mathematics Achievement

At your local university there is a green area where students like to hang out. It is in the shape of a triangle and is bordered by walking paths. If the paths are 300ft, 400ft, and 500ft long, what is the perimeter of the triangle formed by the paths?

Possible Answers:

Correct answer:

Explanation:

At your local university there is a green area where students like to hang out. It is in the shape of a triangle and is bordered by walking paths. If the paths are 300ft, 400ft, and 500ft long, what is the perimeter of the triangle formed by the paths?

This problem describes a triangle and asks us to find its perimeter. To do so, we simply need to add up all of the sides.

So the distance around the triangle is simply 1200ft

Example Question #12 : Geometry

The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the perimeter of the roof of the skyscraper.

Possible Answers:

Correct answer:

Explanation:

The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the perimeter of the roof of the skyscraper.

To find the perimeter of a triangle, we need to know the lengths of all three sides.

We know two, and we know that it is a right triangle. If you are really savvy, you can see that this must be a 45/45/90 triangle, and therefore, the remaining side must be 

You can also find this via Pythagorean Theorem:

Next, add it all up to get:

Note that we rounded slightly, but our answer choices take this into account.

Example Question #12 : Triangles

Use the following to answer the question.

Triangle2

Find the perimeter of the triangle.

Possible Answers:

Correct answer:

Explanation:

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

where a, b, and c are the lengths of the sides of the triangle.

 

Now, given the triangle

Triangle2

we can see the sides are 11cm, 12cm, and 6cm.  Knowing this, we can substitute into the formula.  We get

Example Question #12 : Plane Geometry

Find the perimeter of an equilateral triangle that has a base of 3 feet.

Possible Answers:

Correct answer:

Explanation:

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

where a, b, and c are the lengths of the sides of the triangle.

 

Now, we know the base of the triangle is 3 feet.  Because it is an equilateral triangle, we know that all sides are equal.  Therefore, all sides are 3 feet.  Knowing this, we can substitute into the formula.  We get

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