Can the sides of a triangle have lengths 6, 12, and 17?

Step 1: Note down the given lengths
EXAMPLE: a = 6,
b = 12 and
c = 17
Step 2: Arrange the three numbers in order from smallest to largest
EXAMPLE: a < b < c
6 < 12 < 17
Step 3: Recall the Triangle Inequality Theorem
NOTE: The Triangle Inequality theorem states that the sum of any two
sides of a triangle must be greater than the measure of the third side.
EXAMPLE: a, b, and c are the side lengths of a triangle if and only if a + b > c.
Step 4: Add any two sides.
EXAMPLE: 6 + 12 = 18
12 + 17 = 29
6 + 17 = 23
Step 5: Compare the sum of two sides with the third side.
NOTE: The sum of two sides is greater than the measure of a third side,
then you know that the sides make up a triangle. Otherwise not
EXAMPLE: 18 > 17
29 > 17
23 > 17 so, we can make a triangle withe these sides.