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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 #31 : How To Find The Perimeter Of A Triangle

What is the perimeter of an isosceles triangle with a base of and a side length of ?

Possible Answers:

Cannot determine

Correct answer:

Explanation:

An isosceles triangle has a set of equal sides so the base is and the other two will be apiece.

$\\ \textup{base}=3 \\ \textup{side}=5 \\ \textup{side}=5$

The perimeter is all three sides added up so the perimeter will be

$\textup{Perimeter}=\textup{base+side+side}$

$\\ \textup{Perimeter}=3+5+5 \\ \textup{Perimeter}=13$

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

Find the perimeter of an equilateral triangle with a base of length 9 feet.

Possible Answers:

$81\text{ft}$

$27\text{ft}^2$

$27\text{ft}$

$81\text{ft}^2$

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

Correct answer:

$27\text{ft}$

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 9 feet. Because it is an equilateral triangle, we know that all sides are equal. This means that all sides are 9 feet. Knowing this, we can substitute into the formula. We get

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

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

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Example Question #71 : Triangles

Find the perimeter of an equilateral triangle with a base of 4 feet.

Possible Answers:

$16\text{ft}$

$12\text{ft}^2$

$8\text{ft}$

$12\text{ft}$

$16\text{ft}^2$

Correct answer:

$12\text{ft}$

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 4 feet. Because it is an equilateral triangle, we know that all sides are equal. Therefore, all sides are 4 feet. Knowing this, we can substitute into the formula. We get

$\text{perimeter of triangle} = 4\text{ft} + 4\text{ft} + 4\text{ft}$

$\text{perimeter of triangle} = 12\text{ft}$

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Example Question #355 : Plane Geometry

Use the following equilateral triangle to answer the question:

Triangle4

Find the perimeter.

Possible Answers:

$16\text{ft}$

$18\text{ft}$

$4\text{ft}$

$12\text{ft}$

$8\text{ft}$

Correct answer:

$12\text{ft}$

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, let's look at the equilateral triangle.

Triangle4

We can see that one side has a length of 4ft. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 4ft.

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

$\text{perimeter of triangle} = 4\text{ft} + 4\text{ft} + 4\text{ft}$

$\text{perimeter of triangle} = 12\text{ft}$

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Example Question #72 : Triangles

Use the following triangle to solve the problem:

Triangle1

Find the perimeter.

Possible Answers:

$22\text{in}$

$19\text{in}$

$6\text{in}$

$23\text{in}$

$25\text{in}$

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 the sides of the triangle.

Now, let's look at the triangle.

Triangle1

We can see the lengths of the sides are 9in, 3in, and 10in.

Knowing 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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Example Question #372 : Geometry

Use the following triangle to answer the question:

Triangle2

Find the perimeter.

Possible Answers:

$72\text{cm}$

$29\text{cm}$

$36\text{cm}$

$18\text{cm}$

$17\text{cm}$

Correct answer:

$29\text{cm}$

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

Triangle2

we can see the lengths of the sides are 11cm, 6cm, and 12cm.

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

$\text{perimeter of triangle} = 11\text{cm} + 6\text{cm} + 12\text{cm}$

$\text{perimeter of triangle} = 29\text{cm}$

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Example Question #81 : Triangles

Use the following triangle to answer the question:

Triangle5

Find the perimeter.

Possible Answers:

$19\text{ft}$

$12\text{ft}$

$28\text{ft}$

$32\text{ft}$

$11\text{ft}$

Correct answer:

$19\text{ft}$

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

Triangle5

we can see it has sides of length 8ft, 4ft, and 7ft.

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

$\text{perimeter of triangle} = 8\text{ft} + 4\text{ft} + 7\text{ft}$

$\text{perimeter of triangle} = 19\text{ft}$

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Example Question #371 : Geometry

Find the perimeter of an equilateral triangle with a base of length 10cm.

Possible Answers:

$30\text{cm}$

$100\text{cm}$

$20\text{cm}$

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

$50\text{cm}$

Correct answer:

$30\text{cm}$

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 a triangle.

Now, we know the base of the triangle is 10cm. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 10cm.

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

$\text{perimeter of triangle} = 10\text{cm} + 10\text{cm} + 10\text{cm}$

$\text{perimeter of triangle} = 30\text{cm}$

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Example Question #371 : Geometry

Use the following triangle to answer the question:

Triangle2

Find the perimeter.

Possible Answers:

$17\text{cm}$

$33\text{cm}$

$29\text{cm}$

$36\text{cm}$

$72\text{cm}$

Correct answer:

$29\text{cm}$

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, let's look at the triangle.

Triangle2

We can see it has sides with lengths of 11cm, 6cm, and 12cm.

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

$\text{perimeter of triangle} = 11\text{cm} + 6\text{cm} + 12\text{cm}$

$\text{perimeter of triangle} = 29\text{cm}$

Report an Error

Example Question #81 : Triangles

Find the perimeter of an equilateral triangle with a base of 6in.

Possible Answers:

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

$18\text{in}$

$12\text{in}$

$36\text{in}$

$16\text{in}$

Correct answer:

$18\text{in}$

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 6in. Because it is an equilateral triangle, we know that all sides are equal. Therefore, all sides are 6in.

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

$\text{perimeter of triangle} = 6\text{in} + 6\text{in} + 6\text{in}$

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

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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 #31 : How To Find The Perimeter Of A Triangle

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

Example Question #71 : Triangles

Example Question #355 : Plane Geometry

Example Question #72 : Triangles

Example Question #372 : Geometry

Example Question #81 : Triangles

Example Question #371 : Geometry

Example Question #371 : Geometry

Example Question #81 : Triangles

All ISEE Lower Level Math Resources

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