Triangle Inequalities: Can it Make a Triangle?

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.



About The Author

Math And English Expert
I am a recent High School graduate who maintained Honor Roll, and received the Student of the Year award. I know that sometimes teachers can make learning way more complicated than it needs to be, and that they rarely get the chance to explain lessons one-on-one with you. This is why I'd like to tut...
9 Subjects
KnowRo Tutor
1 Tutorial

Suggested Tutors for Geometry Help

Abdul B

Arlington, VA

Math And Science Expert

Luke N

Bethesda, MD

SAT Instructor And Humanities, Biology

Sophia G

Washington, DC

General Tutor

Emily V

Alexandria, VA

Versatile And Flexible Tutor

^