# SSAT Upper Level Math : Distance Formula

## Example Questions

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### Example Question #1 : How To Find The Length Of A Line With Distance Formula

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

Explanation:

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

Plug in the points that are given.

### Example Question #1 : How To Find The Length Of A Line With Distance Formula

A line segment has end points at  and . What is the length of this line segment?

Explanation:

The distance between two points is given by the following equation:

Now, using the two given points, plug them in to find the distance.

### Example Question #1 : Distance Formula

Find the length of a line that has end points at .

Explanation:

Use the distance formula to find the length of this line segment:

Substitute in the values provided:

At this point, break down the square root:

You can remove two of the twos and put them on the outside of the square root symbol, and multiply the two and the thirteen that remain underneath the square root symbol:

### Example Question #2 : How To Find The Length Of A Line With Distance Formula

A line segment has endpoints at . Find the length of this line.

Explanation:

Use the distance formula to find the length of the line segment.

Where,

and .

### Example Question #2 : How To Find The Length Of A Line With Distance Formula

Find the length of the line segment that has endpoints .

Explanation:

Use the distance formula to find the length of the line segment.

Where,

and .

### Example Question #6 : Distance Formula

Find the length of the line segment that has the endpoints .

Explanation:

Use the distance formula to find the length of the line.

Where,

and .

### Example Question #2 : How To Find The Length Of A Line With Distance Formula

One leg of a triangle has endpoints at the coordinates . Find the length of this leg.

Explanation:

Use the distance formula to find the length of the leg.

Where,

and .

### Example Question #101 : Coordinate Geometry

A side of a square is graphed onto a coordinate plane. The side has endpoints at . Find the length of the side of the square.

Explanation:

Use the distance formula to find the length of the line segment.

Where,

and

### Example Question #1 : How To Find The Length Of A Line With Distance Formula

The side of a triangle is graphed onto a coordinate plane. The side has endpoints at . Find the length of this side.

Explanation:

Use the distance formula to find the length of the line segment.

Where,

and .

### Example Question #10 : Distance Formula

Find the length of a line segment that has endpoints at .