take a traingle of sides 3,4,5 cm and verify pythogerous theorm by using a squared paper by shading squares
Answers
Materials Required
Coloured papers, pair of scissors, fevicol, geometry box, sketch pens, light coloured square sheet.
Procedure
Take a coloured paper, draw and cut a right-angled triangle ACB right-angled at C, of sides 3 cm, 4 cm and 5 cm as shown in fig. (i).
ncert-class-10-maths-lab-manual-pythagoras-theorem-1
Paste this triangle on white sheet of paper.
Draw squares on each side of the triangle on side AB, BC and AC and name them accordingly.
Extend the sides FB and GA of the square ABFG which meets ED at P and CI at Q respectively.
Draw perpendicular RP on BP which meets CD at R. Mark the parts 1, 2, 3, 4 and 5 of the squares BCDE and ACIH and colour them with five different colours.
Cut the pieces 1, 2, 3, 4 and 5 from the squares BCDE and ACIH and place the pieces on the square ABFG.
Observation
Cut pieces of squares ACIH and BCDH and completely cover the square ABFG.
∴ Area of square ACIH = AC2 = 9cm2
Area of square BCDE = BC2 = 16cm2
Area of square ABFG = AB2 = 25 cm2
∴ AB2 = BC2 + AC2
25 = 9 + 16
Result
Pythagoras theorem is verified.
Hope it helps...