Question

OBJECTIVE MATERIAL REQUIRED

To verify Pythagoras theorem by

Bhaskara method.

Chart papers of different colours,

glazed papers, geometry box,

scissors, adhesive.
METHOD OF CONSTRUCTION

1. Take a chart paper and draw a right angled triangle whose sides are a, b and

c units, as shown in Fig. 1.

2. Make three replicas of the triangle from different coloured chart papers.

3. Paste all the four triangles to make a square as shown in Fig. 2.

4. Name the square as PQRS whose side is c units.
A square ABCD of side (a – b) units is formed inside the square PQRS.

The area of the square PQRS is equal to the area of square of side (a – b)

units added to the areas of four identical right angled triangles of sides a, b

and c units.

DEMONSTRATION

1. Area of one right angled triangle = 1 sq.units 2

ab

Area of four right angled triangles =

1 4 sq.units 2

× ab = 2ab sq. units.

Area of the square of side (a – b) units = (a – b)2 sq. units

= (a2

– 2ab + b2

) sq. units.

2. Area of the square PQRS of side c units = c2

sq. units.

Therefore, c2

= 2ab + a2

– 2ab + b2

or c2

= a2

+ b2

.

Hence, the verification of Pythagoras theorem.

OBSERVATION

By actual measurement:

Side a of the triangle =_________ units.

Side b of the triangle =_________ units.

Side c of the triangle =_________ units.

a2

+ b2

=_________ sq. units. c2

=_________ sq. units.

Thus, a2

+ ________ = c2

APPLICATION

Whenever two, out of the three sides of a right triangle are given, the third side

can be found out by using Pythagoras theorem.​

Answer 1

Step-by-step explanation:

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