**Math Labs with Activity – Verify that the Sum of any Two Sides of a Triangle**

**OBJECTIVE**

To verify that the sum of any two sides of a triangle is always greater than the third side and also that the difference of any two sides of a triangle is always less than the third side

**Material Required**

- A sheet of white paper
- A ruler
- A few broomsticks
- A cutter

**Procedure**

**Step 1:** Cut the broomsticks according to the following measurements. Form different sets by selecting these in triplets. Now try to make triangles out of these triplets.

**Step 2:**

**Set 1 –** (See Figure 13.1(a)-13.1(c))

**(a)** 2 cm, 3 cm, 6 cm

**(b)** 3 cm, 4 cm, 8 cm

**(c)** 5 cm, 5 cm, 11 cm

**Set 2 –** (See Figure 13.2(a)-13.2(c))

**(a)** 4 cm, 4 cm, 8 cm

**(b)** 5 cm, 4 cm, 9 cm

**(c)** 3 cm, 2 cm, 5 cm

**Set 3 –** (See Figure 13.3(a)-13.3(c))

**(a)** 5 cm, 4 cm, 8 cm

**(b)** 5 cm, 6 cm, 10 cm

**(c)** 4 cm, 4 cm, 7 cm

**Step 3:** Record the lengths of the sticks in the observation table and-also the possibility of triangle formation.

**Observations**

**Result**

We observe that the triangle formation is possible only if the sum of any two sides of the triangle is larger than the third side and consequently if the difference of any two sides of the triangle is less than the third side.

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