Simple experiment to proof Pythagoras theorem

Experiment for Explaining Theorem of Pythagoras

STEP 1-

Take a piece of paper and draw a right angle triangle in the middle of paper   of sides base  3cm perpendicular 4 cm and hypotenuse 5 cm as shown in fig.

STEP 2-

            Make a square on all three sides of triangle and make a grid in all three squares as shown in fig.

   

 STEP 3-

           Cut all the small squares of grid. These small squares are equal areas so count the parts at each side and you'll see number of small squares at base are 16 at perpendicular are 9 and at hypotenuse 25 so the number of small squares at hypotenuse is equal to the sum of  number of small squares at base and perpendicular.

 No. of small squares at hypotenuse= No. of small squares at base + No. of small squares at perpendicular 

STEP 4-

              And you'll see when you cut small squares of base and perpendicular only and put on the grid on hypotenuse then all the small squares of both sides are completely covered the grid at hypotenuse .

So in this triangle                     52= 42 + 32