GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #181 : 2 Dimensional Geometry

The perimeter of an equilateral triangle is 42cm.  Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

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

where a is the length of one side. 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 42cm. So, we will substitute and solve for a. We get

 

 

 

Therefore, the length of one side of the equilateral triangle is 14cm.

Example Question #5 : Perimeter And Sides Of Triangles

A triangle has the sides of , and .  What is the perimeter of the triangle?

Possible Answers:

Correct answer:

Explanation:

The three sides of the triangle are known.  Add all the sides together.

The answer is:  

Example Question #182 : Geometry And Graphs

Suppose the perimeter of a triangle is . What must be the side length?

Possible Answers:

Correct answer:

Explanation:

There are three sides in a triangle.

To determine the length of a side, multiply the quantity by one-third.

The answer is:  

Example Question #182 : Geometry And Graphs

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 #11 : Triangles

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 #11 : Triangles

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 #12 : Triangles

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 #192 : 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 #193 : Geometry And Graphs

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

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