How to find the length of a line with distance formula

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Math › How to find the length of a line with distance formula

Questions 1 - 10
1

What is the length of a line with endpoints of and ?

Explanation

The distance formula is just a reworking of the Pythagorean theorem:

Expand that.

Plug in our given values.

2

What is the distance between and ?

Explanation

Let and .

The distance formula is given by .

Substitute in the given points:

3

What is the length of a line segment with end points and ?

Explanation

The formula for the length of line is the distance formula, which is very similar to the Pythagorean theorem.

Plug in the given values and solve for the length.

4

What is the distance between points and ?

Explanation

Use the distance formula:

Plug in the given points:

5

What is the length of a line with endpoints at and ?

Explanation

The formula for the length of a line is very similiar to the pythagorean theorem:

Plug in our given numbers to solve:

6

What would be the length of a line with endpoints at and ?

Explanation

The formula for the length of line is the distance formula, which is very similar to the Pythagorean theorem.

Plug in the given values and solve for the length.

7

A line segment has endpoints at and . What is the distance of this segment?

Explanation

To find the distance, we use the distance formula: .

Expand that:

Plug in our given values.

8

Find the distance between points and .

Explanation

Use the distance formula:

Substitute the given points into the formula:

9

What is the length of a line with endpoints at and ?

Explanation

The formula for the length of a line is very similiar to the pythagorean theorem:

Plug in our given numbers to solve:

10

If a line has a length of , and the endpoints are and , what is the value of ?

Explanation

The formula for the length of a line, l, is the distance formula, which is very similar to the Pythagorean Theorem.

Note that the problem has already given us a value for the length of the line. That means . Plug in all of the given values and solve for the missing term.

Subtract from both sides.

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