Step 1: Note down the given lengths

EXAMPLE: a = 1.2,

b = 1.6 and

c = 3.1

Step 2: Arrange the three numbers in order from smallest to largest

EXAMPLE: a < b < c

1.2 < 1.6 < 3.1

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: 1.2 + 1.6 =3.1

1.2 + 3.1 = 4.3

1.6 + 3.1 = 4.7

Step 5: Compare the sums 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: 3.1 = 3.1

4.3 > 3.1

4.1 > 3.1

so, we can not make a triangle withe these sides. because the sum of two

sides is equal to third side.