# What is the perimeter of a triangle ABC on a graph? A (6,1) B (2,7) C (-3,-5)

##### 1 Answer

#### Explanation:

Let's see what this triangle looks like.

I used desmos.com to make the graph; it's a great free online graphing calculator!

Anyway, let's use the Pythagorean theorem to find each of the sides. Let's start with the side connecting (-3, -5) and (2, 7). If you go "over" 5 along the x-axis, and "up" 12 along the y-axis, you get from (-3, -5) to (2, 7). So, this side can be thought of as the hypotenuse of a right triangle with legs of 5 and 12.

So this side has length 13. Now let's find the length of the side connecting (2, 7) and (6, 1). To get from (2, 7) to (6, 1), you go "down" 6 and "over" 4. So, this side is the hypotenuse of a right triangle with sides of 6 and 4.

So this side has length

So this side has length

This means the total perimeter is 13 +