GeometryYou have two pieces of wood that will make up two sides of a triangular picture frame. One is 6 in. long and the other is 7 in. long. What is the range of the possible lengths of the frame?
Accepted Solution
A:
x = length of third side The third side is unknown and can't be determined to be one fixed number. However, we can find a set of values or a range of acceptable values
If we know that a = 6 b = 7 are the two given sides, then we can say
b-a < x < b+a 7-6 < x < 7+6 1 < x < 13
So the third side x can be between 1 and 13. The third side cannot be equal to 1 unit or 13 units because a triangle would not form. Instead a straight line would form.
Note: This idea is using the triangle inequality theorem