Triangle can be formed if

OBJECTIVE

To verify that triangle can be drawn if the sum of lengths of any two sides is greater than the third side.

PREREQUISITE KNOWLEDGE

Familiarity with a triangle and its parts.

MATERIALS REQUIRED

1. A scale

2. A gluestick

3 .Paper Sheet

4. Three Sets  of broom sticks of following measurements

Set-1. 5cm,7cm,11cm

Set-2. 5cm,7cm,14cm

Set-3. 5cm,7cm,12cm

PROCEDURE

1.Take  set-1 of  broom sticks 

      ( 5cm,7 cm,11cm)   Image 1

          

                                              Image1

2.Try to make a triangle using broom sticks of  Set-1 (Image 2)      

          

                                              Image 2

3.Take other sets ( Set -2,Set-3) of broom sticks  and try to form triangle,we observe that 

forming of  triangle is not possible. (Image3 & Image4)   

           

                                                Image 3

           

                                                 Image 4

OBSERVATION

For set-1

       5+7 >11

       5+11>7

       7+11>5

Triangle can be formed (Image 1)

For set-2

      7+14>5

      5+14>7

      5+7<14       (Not satisfied)

So,triangle can not be formed

For set-3

      7+12>5

      5+12>7

      5+7=12       (Not satisfied)

So,triangle can not be formed

CONCLUSION

So, It is verified that a triangle can be drawn only if the sum of lengths of any two sides 

is greater than the third side.