## Geometry Tutorial

*Triangle Inequalities: Can it Make a Triangle?*

#### Intro

There are rules that triangles must follow. One of these rules is that the sum of the lengths of any two sides of a triangle is greater than the length of the 3rd side. In other words, whenever you add the length of two sides of a triangle together, it must equal more than the length of the third side.

a+b>c

a= any side length

b= any side length

c= remaining side length

#### Sample Problem

Can it Make a Triangle?

5,8,12

#### Solution

5,8,12 are the side lengths of a triangle. To see if these numbers can make a triangle you must add two of them together, and see if they equal more than the remaining side length. You must do this for each number.

5+8=13

(13 is greater than 12, which was the remaining side length)

8+12=20

(20 is greater than 5, which was the remaining side length)

12+5=17

(17 is greater than 8, which was the remaining side length)

Because no matter which two side lengths you added together, it always equalled more than the third side length YES it CAN be a traingle.

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