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ISEE Lower Level Math : Geometry

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

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All ISEE Lower Level Math Resources

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

Example Questions

Example Question #362 : Plane Geometry

Use the following triangle to answer the question:

Triangle7

Find the perimeter.

Possible Answers:

$24\text{cm}$

$16\text{cm}$

$32\text{cm}$

$12\text{cm}$

$18\text{cm}$

Correct answer:

$18\text{cm}$

Explanation:

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

$\text{perimeter of triangle} = a+b+c$

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

Now, given the triangle

Triangle7

we can see it has sides of length 8cm, 4cm, and 6cm.

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

$\text{perimeter of triangle} = 8\text{cm} + 4\text{cm} + 6\text{cm}$

$\text{perimeter of triangle} = 18\text{cm}$

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Example Question #381 : Geometry

Find the perimeter of an equilateral triangle with a base of 5in.

Possible Answers:

$15\text{in}^2$

$25\text{in}$

$25\text{in}^2$

$\text{There is not enough information to solve the problem.}$

$15\text{in}$

Correct answer:

$15\text{in}$

Explanation:

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

$\text{perimeter of triangle} = a+b+c$

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

Now, we know the base of the triangle is 5in. Because it is an equilateral triangle, we know that all sides are equal. Therefore, all sides are 5in.

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

$\text{perimeter of triangle} = 5\text{in} + 5\text{in} + 5\text{in}$

$\text{perimeter of triangle} = 15\text{cm}$

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Example Question #81 : Triangles

An isosceles triangle measures inches along its two equal sides, and inches along its third side. What is the perimeter of the triangle?

Possible Answers:

$\textup{in.}$

Correct answer:

$\textup{in.}$

Explanation:

To find the perimeter of any object, simply add the length of each side together. For the triangle above, add the equal side twice (there are two of them). The best answer is:

6 + 6 + 13 = 25

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Example Question #82 : Triangles

An isosceles triangle measures inches along its two equal sides, and inches along its third side. What is the perimeter of the triangle?

Possible Answers:

$\textup{in.}$

Correct answer:

$\textup{in.}$

Explanation:

To find the perimeter of any object, simply add the length of each side together. The best answer is:

8 + 8 + 21 = 37 inches

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Example Question #43 : How To Find The Perimeter Of A Triangle

An equilateral triangle measures 6.5 inches along its three equal sides. What is the perimeter of the triangle?

Possible Answers:

$\textup{in.}$

19.8 $\textup{in.}$

20.5 $\textup{in.}$

18.5 $\textup{in.}$

19.5 $\textup{in.}$

Correct answer:

19.5 $\textup{in.}$

Explanation:

To find the perimeter of any object, simply add the length of each side together. In the case of an equilateral triangle, because all three sides are equal, and there are three of them, you can also multiply the side length by three. The best answer is:

6.5 * 3 = 19.5 inches

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Example Question #382 : Geometry

An equilateral triangle measures 7.2 inches along its three equal sides. What is the perimeter of the triangle?

Possible Answers:

21.2 $\textup{in.}$

26.2 $\textup{in.}$

21.6 $\textup{in.}$

20.6 $\textup{in.}$

26.6 $\textup{in.}$

Correct answer:

21.6 $\textup{in.}$

Explanation:

7.2 * 3 = 21.6 inches

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Example Question #91 : Triangles

Find the perimeter of an equilateral triangle with a base of 18in.

Possible Answers:

$27\text{in}$

$54\text{in}$

$72\text{in}$

$36\text{in}$

$\text{There is not enough information to solve the problem.}$

Correct answer:

$54\text{in}$

Explanation:

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

$\text{perimeter of triangle} = a+b+c$

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

Now, we know the base of the triangle has a length of 18in. Because it is an equilateral triangle, all lengths are the same. Therefore, all lengths are 18in.

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

$\text{perimeter of triangle} = 18\text{in} +18\text{in} +18\text{in}$

$\text{perimeter of triangle} = 54\text{in}$

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Example Question #1321 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of an equilateral triangle with a base of 14in.

Possible Answers:

$36\text{in}$

$\text{There is not enough information to solve the problem.}$

$28\text{in}$

$42\text{in}$

$46\text{in}$

Correct answer:

$42\text{in}$

Explanation:

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

$\text{perimeter of triangle} = a+b+c$

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

Now, we know the base of the triangle is 14in. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 14in.

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

$\text{perimeter of triangle} = 14\text{in} + 14\text{in} + 14\text{in}$

$\text{perimeter of triangle} = 42\text{in}$

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Example Question #51 : How To Find The Perimeter Of A Triangle

Find the perimeter of the following triangle:

Triangle6

Possible Answers:

$30\text{ft}$

$36\text{ft}$

$22\text{ft}$

$16\text{ft}$

$28\text{ft}$

Correct answer:

$28\text{ft}$

Explanation:

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

P = a+b+c

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

Now, given the triangle

Triangle6

we can see it has sides of length 10ft, 6ft, and 12ft. Knowing this, we can substitute into the formula. We get

$P = 10\text{ft} + 6\text{ft} +12\text{ft}$

$P = 28\text{ft}$

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Example Question #371 : Plane Geometry

Find the length of one side of an equilateral triangle that has a perimeter of 27cm.

Possible Answers:

$6\text{cm}$

$8\text{cm}$

$7\text{cm}$

$5\text{cm}$

$9\text{cm}$

Correct answer:

$9\text{cm}$

Explanation:

The formula to find perimeter of an equilateral triangle is

P = 3a

where a is the length of one side. We can multiply that by 3, because an equilateral triangle has 3 equal sides. Now, to find the length of one side, we will solve for a.

So, we know the perimeter of the equilateral triangle is 27cm. Knowing this, we can substitute. We get

$27\text{cm} = 3a$

$\frac{27\text{cm}}{3} = \frac{3a}{3}$

$9\text{cm} = a$

$a = 9\text{cm}$

Therefore, the length of one side of the equilateral triangle is 9cm.

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Geometry

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #362 : Plane Geometry

Example Question #381 : Geometry

Example Question #81 : Triangles

Example Question #82 : Triangles

Example Question #43 : How To Find The Perimeter Of A Triangle

Example Question #382 : Geometry

Example Question #91 : Triangles

Example Question #1321 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #51 : How To Find The Perimeter Of A Triangle

Example Question #371 : Plane Geometry

All ISEE Lower Level Math Resources

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