[Math] What are the possible lengths of the third side of the triangle

geometry

I have this for a homework question: "The side lengths of a triangle are $11.3$ centimeters, $14.7$ centimeters, and $x$ centimeters. The perimeter of the triangle is less than $44$ centimeters. What are the possible values of $x$?"

No idea what to do.. I can do this type of math on other problems, but THIS one, I'm not sure about. It would be nice if someone could help me out and show me the answer and how it was gotten!

Best Answer

Your perimeter is the total of all three sides. You know two sides. Add them up. What is the maximum length that the third side can be without exceeding the perimeter of $44$?

If you really want to visualize this, create an angle with two straws, labeling them with the lengths the represent.

How narrow can you make the angle between them? What is the closest the two opposite ends can get? That's your minimum length for the third side.

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