Page 184 - Maths Skills - 7

182 Maths

Activity

Objective: To verify that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares
on the other two sides experimentally.
Pre-Requisite Knowledge: 1. Area of a square.
2. Construction of parallel and perpendicular lines.

Materials Required: Cardboard, cardboard margins, thermocol sheet, coloured papers, a pair of scissors, fevicol,
and geometry box.
Procedure: 1. Cut out a square of size (say 20 cm × 20 cm) from the cardboard and paste a coloured paper on
it.

2. Make a right triangle in which side AB = 4 cm, AC = 3 cm and BC = 5 cm.
3. Fix cardboard margins along the sides AB, BC and CA of triangle ABC as shown in given figure
4. Now cut the squares of sizes (4 cm × 4 cm) and (3 cm × 3 cm) from the thermocol sheet and fit
the squares in ABGF and ACDE.
5. Cut the square ABGF in four congruent parts so that these four parts fit exactly in the square
BCIH as shown in the given fig.

(To complete the previous step, through the point of intersection O of the diagonals AG and BF
of square ABGF, draw MN || BC. Construct the perpendicular bisector QP of MN through O. Cut
the square ABGF along the lines MN and PQ.)

6. Record your observations.
7. Repeat the activity with any other Pythagorean triplet and paste your work on next page.

Observations: Area of square ACDE =

Area of square ABGF =

Area of square BHIC =