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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

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Example Questions

Example Question #341 : Plane Geometry

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

Possible Answers:

$81\text{cm}$

$27\text{cm}$

$18\text{cm}$

$27\text{cm}^2$

$81\text{cm}^2$

Correct answer:

$27\text{cm}$

Explanation:

The formula to find the perimeter of a triangle is

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

where a, b, and c are the lengths of the sides. When looking at equilateral triangles, we know that all lengths are equal. Therefore, we know that each side is equal to 9cm. So,

$\text{perimeter of triangle} = 9\text{cm}+9\text{cm}+9\text{cm}$

$\text{perimeter of triangle} = 27\text{cm}$

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Example Question #342 : Plane Geometry

Find the perimeter of the following triangle:

Triangle1

Possible Answers:

$15\text{in}$

$22\text{in}^2$

$22\text{in}$

$270\text{in}$

$19\text{in}$

Correct answer:

$22\text{in}$

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 each side of the triangle.

The sides on this triangle are of length 9in, 10in, and 3in. So, we will add those lengths together. We get

$\text{perimeter of triangle} = 9\text{in} + 10\text{in} + 3\text{in}$

$\text{perimeter of triangle} = 22\text{in}$

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Example Question #341 : Plane Geometry

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:

4 + 4x

4x + 1

8 + x

Correct answer:

8 + x

Explanation:

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

4 + 4 + x = 8 + x

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Example Question #345 : Plane Geometry

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:

Correct answer:

Explanation:

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

3 + 3 + 7 = 13

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Example Question #361 : Geometry

An equilateral triangle measures y + 1 inches along its three equal sides. What is the perimeter of the triangle?

Possible Answers:

3y + 3

y + 3

3y + 1

6y + 6

3y + 9

Correct answer:

3y + 3

Explanation:

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

y + 1 + y+1+y+1 = 3y + 3

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Example Question #362 : Geometry

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

Possible Answers:

16n

10n

12n

14n

Correct answer:

12n

Explanation:

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

4n + 4n + 4n =12n

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Example Question #345 : Plane Geometry

Find the perimeter of an equilateral triangle with a side of length 13cm.

Possible Answers:

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

$39\text{cm}^2$

$39\text{cm}$

$169\text{cm}^2$

$169\text{cm}$

Correct answer:

$39\text{cm}$

Explanation:

To find the perimeter of a triangle, we 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.

So, given the triangle mentioned above, we know that it is an equilateral triangle. Because it is an equilateral triangle, we know that all the sides are equal. The problem says one side is 13cm. Therefore all sides are 13cm. Knowing that, we can substitute into the formula. We get

$\text{perimeter of triangle} = 13\text{cm} +13\text{cm} +13\text{cm}$

$\text{perimeter of triangle} = 39\text{cm}$

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Example Question #21 : How To Find The Perimeter Of A Triangle

Find the perimeter of an equilateral triangle with a base of 8 inches.

Possible Answers:

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

$48\text{in}^2$

$24\text{in}$

$24\text{in}^2$

$48\text{in}$

Correct answer:

$24\text{in}$

Explanation:

To find the perimeter of a triangle, we 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.

We know the length of the base of the triangle is 8 inches. Because it is an equilateral triangle, we also know that all sides are equal. Therefore, all sides are 8 inches. Knowing this, we can substitute into the formula. We get

$\text{perimeter of triangle} = 8\text{in} +8\text{in} +8\text{in}$

$\text{perimeter of triangle} = 24\text{in}$

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Example Question #72 : Triangles

Find the perimeter of an equilateral triangle with a base of 12 cm.

Possible Answers:

$72\text{cm}^2$

$72\text{cm}$

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

$36\text{cm}$

$36\text{cm}^2$

Correct answer:

$36\text{cm}$

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, we know the base of the triangle is 12cm. Because it is an equilateral triangle, we know that all the sides are equal. In other words, all sides are 12cm. Knowing this, we can substitute into the formula. We get

$\text{perimeter of triangle} = 12\text{cm} + 12\text{cm} + 12\text{cm}$

$\text{perimeter of triangle} = 36\text{cm}$

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Example Question #351 : Plane Geometry

Use the following to answer the question.

Triangle1

Find the perimeter.

Possible Answers:

$30\text{in}^2$

$22\text{in}$

$27\text{in}$

$30\text{in}$

$22\text{in}^2$

Correct answer:

$22\text{in}$

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, given the triangle

Triangle1

we can see it has sides with lengths of 9 inches, 3 inches, and 10 inches. Knowing all of this, we can substitute into the formula. We get

$\text{perimeter of triangle} = 9\text{in} + 3\text{in} + 10\text{in}$

$\text{perimeter of triangle} = 22\text{in}$

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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 #341 : Plane Geometry

Example Question #342 : Plane Geometry

Example Question #341 : Plane Geometry

Example Question #345 : Plane Geometry

Example Question #361 : Geometry

Example Question #362 : Geometry

Example Question #345 : Plane Geometry

Example Question #21 : How To Find The Perimeter Of A Triangle

Example Question #72 : Triangles

Example Question #351 : Plane Geometry

All ISEE Lower Level Math Resources

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