Apple the triangle inequality theorem to determine the possible whole number measures of the thrid side of a triangle if the first two sides measure 6 and 2. List them in ascending order
The measure of the thrid side could be blank,blank or blank
By the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the first two sides measure 6 and 2.
To determine the possible whole number measures of the third side, we need to find values that satisfy the inequality:
6 + 2 > x
Simplifying the inequality:
8 > x
Therefore, the value of x (the measure of the third side) must be less than 8.
Since the third side cannot be negative or zero, we can list the possible whole number measures in ascending order:
1, 2, 3, 4, 5, 6, 7