GED Math : Distance Formula

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #1 : Distance Formula

Use the distance formula to calculate the distance between the points and .

Possible Answers:

Correct answer:

Explanation:

The distance between 2 points can be determined using the distance formula:

Example Question #2 : Distance Formula

Provide your answer in its most simplified form.

Find the distance between the following two points: 

Possible Answers:

Correct answer:

Explanation:

To find the distance we need to use the distance formula:

Plug in your x and y values to get:

 Combine like terms to get:

Continue with your order of operations:

 

Don't forget to simplify if possible:

Example Question #3 : Distance Formula

Provide your answer in its most simplified form.

Find the distance between these two points: 

Possible Answers:

Correct answer:

Explanation:

For this problem we must use the distance formula:

Plug in your x and y values:

Combine like terms:

 

Continue your order of operations:

This cannot be simplified so you are left with the correct answer.

Example Question #4 : Distance Formula

Provide your answer in its most simplified form.

Find the distance between the two following points: 

Possible Answers:

Correct answer:

Explanation:

We must use the distance formula to solve this problem:

 

Plug in your x and y values:

Combine like terms:

 

Continue with your order of operations

Simplify to get:

Example Question #5 : Distance Formula

What is the distance between the points  and ?

Possible Answers:

Correct answer:

Explanation:

Write the distance formula.

Substitute the points into the formula.

Factor the radical using factors of perfect squares.

The answer is:  

Example Question #6 : Distance Formula

Find the distance from point  to .

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the distance between two points.

Substitute the points into the radical.

The answer is:  

Example Question #7 : Distance Formula

What is the distance between  and ?

Possible Answers:

Correct answer:

Explanation:

Write the distance formula.

Substitute the points into the equation.

The answer is:  

Example Question #8 : Distance Formula

Use distance formula to find the distance between the following two points.

 

Possible Answers:

Correct answer:

Explanation:

Use distance formula to find the distance between the following two points.

 

Distance formula is as follows:

Note that it doesn't matter which point is "1" and which point is "2" just so long as we remain consistent.

So, let's plug and chug.

So, our answer is

Example Question #9 : Distance Formula

A triangle on a coordinate plane has the following vertices: . What is the perimeter of the triangle?

Possible Answers:

Correct answer:

Explanation:

Since we are asked to find the perimeter of the triangle, we will need to use the distance formula to find the length of each side. Recall the distance formula:

Start by finding the distance between the points :

Next, find the distance between .

Then, find the distance between .

Finally, add up the lengths of each side to find the perimeter of the triangle.

Example Question #10 : Distance Formula

Find the distance between the points  and .

Possible Answers:

Correct answer:

Explanation:

Find the distance between the points  and .

To find the distance between two points, we will use distance formula (clever name). Distance formula can be thought of as a modified Pythagorean Theorem. What distance formula does is essentially treats our two points as the ends of a hypotenuse on a right triangle, then uses the two side lengths to find the hypotenuse.

Distance formula:

Pythagorean Theorem

If the connection isn't clear, don't worry, we can still solve for distance.

So our answer is 407

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