explain two different methods of drawing a square of area 13 square centimetres
Answers
Answer:
CASE 1
we have to draw square of area 13 cm².
This implies
Side of square = √13 cm
We can write 13 as sum of squares of 3 and 2
13 = 3² + 2²
first make a line PQ of 5 cm with a Point A on it whose distance from P is 3cm
so
PA = 3 cm QA = 2cm
Draw perpendiculars at P and Q on line PQ
draw at perpendicular PD = 2cm
and
QB = 3cm
Now join AB and AD
Now
AB = AD = √13 cm
And
Perpendicular to each other
Now Draw perpendicular on AD and AB and produced them until they cut at C
Hence
ABCD square with Side = √13 cm prepared
Case 2
Since we can write
7² - 6² = 13
make a line PA = 6 cm
Draw perpendicular at A on line PA
Now by Using compass of Length 7 cm from P Cut Perpendicular from point A at point D
we get AD = √13 cm
Now produce PA line
and
produce line DA such that DQ = 6 cm
Now from point Q by Using compass draw 7 cm arc to Cut produced PA line at point B
we get AB = √13 cm
Now Draw perpendicular at AB
and
AD
And
Produced them to meet at C
So we get ABCD Square Side√13 cm .