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ISEE Lower Level Math : How to find the perimeter of a triangle

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Example Questions

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

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

Possible Answers:

$72\text{cm}^2$ $\displaystyle 72\text{cm}^2$

$72\text{cm}$ $\displaystyle 72\text{cm}$

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

$36\text{cm}$ $\displaystyle 36\text{cm}$

$36\text{cm}^2$ $\displaystyle 36\text{cm}^2$

Correct answer:

$36\text{cm}$ $\displaystyle 36\text{cm}$

Explanation:

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

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

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

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

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

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Example Question #72 : Triangles

Use the following to answer the question.

Triangle1

Find the perimeter.

Possible Answers:

$30\text{in}^2$ $\displaystyle 30\text{in}^2$

$27\text{in}$ $\displaystyle 27\text{in}$

$22\text{in}$ $\displaystyle 22\text{in}$

$22\text{in}^2$ $\displaystyle 22\text{in}^2$

$30\text{in}$ $\displaystyle 30\text{in}$

Correct answer:

$22\text{in}$ $\displaystyle 22\text{in}$

Explanation:

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

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

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

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

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

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Example Question #371 : Geometry

What is the perimeter of an isosceles triangle with a base of $\displaystyle 3$ and a side length of $\displaystyle 5$?

Possible Answers:

Cannot determine

$\displaystyle 15$

$\displaystyle 8$

$\displaystyle 9$

$\displaystyle 13$

Correct answer:

$\displaystyle 13$

Explanation:

An isosceles triangle has a set of equal sides so the base is $\displaystyle 3$ and the other two will be $\displaystyle 5$ apiece.

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

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

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

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

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Example Question #372 : Geometry

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

Possible Answers:

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

$27\text{ft}^2$ $\displaystyle 27\text{ft}^2$

$81\text{ft}$ $\displaystyle 81\text{ft}$

$81\text{ft}^2$ $\displaystyle 81\text{ft}^2$

$27\text{ft}$ $\displaystyle 27\text{ft}$

Correct answer:

$27\text{ft}$ $\displaystyle 27\text{ft}$

Explanation:

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

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

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

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

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

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Example Question #373 : Geometry

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

Possible Answers:

$16\text{ft}^2$ $\displaystyle 16\text{ft}^2$

$12\text{ft}$ $\displaystyle 12\text{ft}$

$8\text{ft}$ $\displaystyle 8\text{ft}$

$12\text{ft}^2$ $\displaystyle 12\text{ft}^2$

$16\text{ft}$ $\displaystyle 16\text{ft}$

Correct answer:

$12\text{ft}$ $\displaystyle 12\text{ft}$

Explanation:

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

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

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

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

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

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Example Question #374 : Geometry

Use the following equilateral triangle to answer the question:

Triangle4

Find the perimeter.

Possible Answers:

$4\text{ft}$ $\displaystyle 4\text{ft}$

$16\text{ft}$ $\displaystyle 16\text{ft}$

$12\text{ft}$ $\displaystyle 12\text{ft}$

$18\text{ft}$ $\displaystyle 18\text{ft}$

$8\text{ft}$ $\displaystyle 8\text{ft}$

Correct answer:

$12\text{ft}$ $\displaystyle 12\text{ft}$

Explanation:

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

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

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

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

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

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Example Question #375 : Geometry

Use the following triangle to solve the problem:

Triangle1

Find the perimeter.

Possible Answers:

$19\text{in}$ $\displaystyle 19\text{in}$

$6\text{in}$ $\displaystyle 6\text{in}$

$22\text{in}$ $\displaystyle 22\text{in}$

$23\text{in}$ $\displaystyle 23\text{in}$

$25\text{in}$ $\displaystyle 25\text{in}$

Correct answer:

$22\text{in}$ $\displaystyle 22\text{in}$

Explanation:

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

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

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

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

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

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Example Question #81 : Triangles

Use the following triangle to answer the question:

Triangle2

Find the perimeter.

Possible Answers:

$72\text{cm}$ $\displaystyle 72\text{cm}$

$18\text{cm}$ $\displaystyle 18\text{cm}$

$29\text{cm}$ $\displaystyle 29\text{cm}$

$36\text{cm}$ $\displaystyle 36\text{cm}$

$17\text{cm}$ $\displaystyle 17\text{cm}$

Correct answer:

$29\text{cm}$ $\displaystyle 29\text{cm}$

Explanation:

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

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

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

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

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

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Example Question #82 : Triangles

Use the following triangle to answer the question:

Triangle5

Find the perimeter.

Possible Answers:

$19\text{ft}$ $\displaystyle 19\text{ft}$

$28\text{ft}$ $\displaystyle 28\text{ft}$

$32\text{ft}$ $\displaystyle 32\text{ft}$

$12\text{ft}$ $\displaystyle 12\text{ft}$

$11\text{ft}$ $\displaystyle 11\text{ft}$

Correct answer:

$19\text{ft}$ $\displaystyle 19\text{ft}$

Explanation:

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

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

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

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

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

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Example Question #83 : Triangles

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

Possible Answers:

$100\text{cm}$ $\displaystyle 100\text{cm}$

$50\text{cm}$ $\displaystyle 50\text{cm}$

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

$20\text{cm}$ $\displaystyle 20\text{cm}$

$30\text{cm}$ $\displaystyle 30\text{cm}$

Correct answer:

$30\text{cm}$ $\displaystyle 30\text{cm}$

Explanation:

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

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

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

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

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

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ISEE Lower Level Math : How to find the perimeter of a triangle

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 #72 : Triangles

Example Question #371 : Geometry

Example Question #372 : Geometry

Example Question #373 : Geometry

Example Question #374 : Geometry

Example Question #375 : Geometry

Example Question #81 : Triangles

Example Question #82 : Triangles

Example Question #83 : Triangles

All ISEE Lower Level Math Resources

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