Page 239 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\12_Chapter_8\Chapter_8
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Step 4: Similarly, draw another perpendicular Step 5: Join CD.
line at point B, and mark C at a distance of 4 cm
from point B.

Step 6: After measuring the length of the line segment CD, we find that AB = BC = CD = AD =
4 cm and ∠A = ∠B = ∠C = ∠D = 90°.

Enrichment
To draw a square using Baudhayana’s technique
Steps of construction:
1. Draw a straight line (say EW) of specified length 2. Now attach a cord to the pin at the centre and
vertically and place a pin at its centre. (This line taking the radius as half of the line, draw a circle
is the diameter of your circle.) with this cord.

3. Place pin at E and taking EW as radius draw a circle/arc. With the same
radius, draw another circle/arc from centre W. Let the circles/arcs intersect
at points N and S as shown here.
4. Join N to S. Mark points P and Q where NS intersects the first circle you
drew.
5. Taking EO as radius and E as centre, draw a circle with the help of a pin and a cord. Keeping the radius
unchanged, draw three more circles from centres P, W and Q respectively.
6. Let the circles intersect at points A, B, C, and D, respectively as shown in
figure. Join AB, BC, CD and DA to get the square.
This method, described in Baudhayana’s Sulba-sutra, effectively
construct a square with the specified sidelength.

237 Playing with Constructions