Question

I need help on this, its Geometry.

Part 1: On your own paper, create a triangle having different lengths of two sides. Provide a description of your triangle including the lengths of the two given sides.

Part 2: For the triangle created in Part 1, what is the range of values that the length of the third side can NOT be?

Part 3: Justify your answer.

Answer 1

The questions you are dealing with here are regarding the lengths of triangles and the triangle inequality.

First draw a triangle. Give each vertex a letter like A, B, C. Draw the triangle so that two of the sides like sides AB and BC are different. You can make any two sides different, you're not restricted to just those two. Record the side lengths of the two sides you drew as different lengths. Now connect the endpoints of both these sides to form a third side. Then you're supposed to give the range of values this third side can take on. This is where the triangle inequality comes in:

The Triangle Inequality states that the sum of any two sides of a triangle is always greater than the third side.

Using this statement and having the length of the 2 sides you just drew, you can use this inequality to get the the values the third side can take on.

More information on the Triangle Inequality and sides of triangles is available here:
http://www.mathopenref.com/triangleinequality.html

@intronic