Given :  The LENGTH of the diagonal of a square is 10cm and its side is 8cm.

To Find : Draw a  square

Solution:

A square having side 8 CM can not have diagonal 10 cm as its diagonal would be 8√2 cm.

So QUESTION data is wrong

Take case 1 :  its a square with side 8 cm

Taking case 2 : its a square  with diagonal 10 cm

case 1 :

Step 1 : Draw a line segment AB = 8 cm

Step 2 : Draw a right angle at A on AB using protractor

Step 3 : Take a length 8 cm from A on angle drawn in previous step and mark it as D

Step 4 : JOIN AD

Step 5 : Draw a right angle at B on AB using protractor

Step 6 : Take a length 8 cm from B on angle drawn in previous step and mark it as C

Step 7 : Join BC

Step  8 : Join CD

case 2 :

Step 1 : Draw a line segment AC = 10 cm

Step 2 : Draw XY perpendicular bisector  of AC intersecting AC at O

Step 3 :  Taking  O as center and using compass width = 5 cm cut  XY at  B and D

Step 4 : Join AB , BC , CD and AD

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