# Distance Formula

Thursday, February 16th, 2012 at
2:55 pm

# What is the Distance Formula?

## The distance between two points on a coordinate plane can found by using the distance formula.

### To understand and discover the distance formula you must use the Pythagorean Theorem. If you have a right triangle, then the square on the hypotenuse is equal to the sum of the squares of the other two sides.

### The converse is also true. If , then the triangle is a right triangle.

### Find the distance between two points and .

### The Length of the Vertical side is or , so b = .

### The Length of the Horizontal side is . so a = .

### The hypotenuse of the right triangle is the distance between the two points, so c = d.

### Examples:

### Find the distance between the following two points:

### 1)

### 2.

### Determine if the triangle formed by joining these three points is a right triangle.

### 3.

### a) b) c)

### Yes, these three points connect to make a right triangle.

### 4.

### a) b) c)

### Yes, these three points connect to make a right triangle.

**Filed under: **Pre-requisites for Pre-Calculus

**Like this post?** Subscribe to my RSS feed and get loads more!

## Leave a Reply