Pythagoras property

OBJECTIVE: To verify the Pythagoras Property for a right angled triangle.

                          

                        (HYPOTENUSE) ² = (BASE) ² + (PERPENDICULAR) ² 

  PREREQUISITE  KNOWLEDGE:Concept of area of a square and concept of area of a triangle.

MATERIAL REQUIRED: 1. Square papers

                                            2. Colours

                                            3.Pencil

                                            4.Eraser......etc

PROCEDURE:1. Draw a right-angled triangle PQR of sides 3,4 and 5 units on a white sheet paper and fill                             with  yellow colour (Image-I)

                          2.  Draw a square of the side QR (3 units), a square of the side  PQ (4 units) 

                              and another square of the side PR (5 units) on a squared paper and cut them out as per                               per  the figure (Image-2)

                         3. Paste these cut-out along the side PR (5 units),along PQ (4 units),and along

                             QR (3 units) (Image-3)

                          4. Count the number of unit squares in each of these three squares on side PQ,QR

                               ,and PR of the triangle.

OBSERVATION:1 Number of unit squares in the square on the side PQ=16

                            2. Number of unit squares in the square on the side QR =9

                            3.Number of unit squares in the square on the side PR =25

                            4. Number of unit squares on the side PR= Sum of number of unit squares on the side

                                 PQ and QR

CONCLUSION: It is verified that  (HYPOTENUSE) ² = (BASE) ² + (PERPENDICULAR) ²