GED Math : Perimeter and Sides of Triangles

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #11 : Perimeter And Sides Of Triangles

The perimeter of an equilateral triangle is 45in. Find the length of one side. 

Possible Answers:

Correct answer:

Explanation:

The formula to find the perimeter of an equilateral triangle is

where a is the length of one side of the triangle. Because it is an equilateral triangle, all sides are equal. Therefore, we can use any side in the formula. To find the length of one side, we will solve for a.

Now, we know the perimeter of the triangle is 45in. So, we can substitute and solve for a. So, we get

Therefore, the length of one side of the equilateral triangle is 15in.

Example Question #182 : Geometry And Graphs

An equilateral triangle has a perimeter of 123in. Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

The formula to find the perimeter of an equilateral triangle is

where a is the length of one side of the triangle. An equilateral triangle has 3 equal sides, so we can use any side in the formula. To find the length of one side, we will solve for a.

Now, we know the perimeter of the triangle is 123in. So, we will substitute and solve for a. We get

 

 

 

Therefore, the length of one side of the equilateral triangle is 41in.

Example Question #191 : Geometry And Graphs

Use the following triangle to answer the question:

Triangle1

Find the perimeter.

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

Triangle1

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

Example Question #192 : Geometry And Graphs

Use the following triangle to answer the question:

Triangle7

Find the perimeter.

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.

So, given the following triangle

Triangle7

we can see it has sides of length 8cm, 4cm, and 6cm. So, we can substitute. We get

Example Question #11 : Perimeter And Sides Of Triangles

Find the perimeter of a triangle if the side length is .

Possible Answers:

Correct answer:

Explanation:

The triangle is not specified whether if it is an isosceles, right triangle, or equilateral triangle.  

We only can conclude that there's only one known side.  There is insufficient information to find the total perimeter of the triangle.

The answer is:  

Example Question #194 : Geometry And Graphs

If the side of an equilateral triangle is , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The perimeter of an equilateral triangle is three times the given side length, since all three sides are congruent.

Multiply the known side by three.

Simplify the inner terms.

The answer is:  

Example Question #11 : Perimeter And Sides Of Triangles

Use the following triangle to answer the question:

Triangle6

Find the perimeter.

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

Triangle6

we can see it has sides with lengths of 10ft, 6ft, and 12ft. So, we can substitute. We get

Example Question #196 : Geometry And Graphs

Determine the perimeter if a known side of a triangle is .

Possible Answers:

Correct answer:

Explanation:

The perimeter of an equilateral triangle would be known, but the type of triangle is unknown in the problem statement.

The perimeter of a triangle requires three known sides.  Since only one side is given, we do not have enough information to determine the perimeter.

The answer is:  

Example Question #11 : Triangles

Use the following triangle to answer the question:

Triangle6

Find the perimeter.

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

Triangle6

we can see it has sides with lengths 10ft, 6ft, and 12ft. So, we can substitute. We get

Example Question #198 : Geometry And Graphs

Use the following equilateral triangle to answer the question:

Triangle4

Find the perimeter.

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

Triangle4

we can see one side is 4ft. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 4ft. So, we can substitute. We get

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