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.