Krishna
0

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.