Question

Explain two different methods of drawing square of area 13 square centimethes square​

Answer 1

2 different method explained using Pythagorus

Step-by-step explanation:

square of area 13 square centimetres.

=> Side of square = √13 cm

13 = 3² +2²

Lets draw a straight line PQ of (2 + 3) 5cm with a Point A on it 3 cm from P

PA = 3 cm QA = 2cm

Draw at P & Q on PQ

draw at 1 PD = 2cm & QB = cm

Now join AB & AD

Now AB = AD = √13 cm & Perpendicular to each other

Now Draw on AD & AB & Extend them till they cut at C Hence ABCD square with Side-√13 cm (Area 13 cm²) is

ready

Case 2 7²-6² = 13

Draw a Line PA = 6 cm

Draw Lat A on PA

Then Using compass of Length 7 cm from P Cut Perpendicular from A at D

we get AD = 213 cm

Now Extend PA line

& Extend line DA such that DQ = 6 cm

Now from point Q Using compass draw 7 cm arc to Cut Extended PA line at B

we get AB = √13 cm

Now Draw at AB & AD & extend them to meet at C

We get ABCD Square Side-√13 cm (Area 13 cm²)