Construct+a+square,+each+of+whose+diagonals+measure+6.8cm.+(My+question+is+if+we+solve+this+we+get+a+rhombus,+though+squares+and+rhombus+have+same+properties+but+they+aren't+same)
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Answer: No,it IS POSSIBLE to obtain a square as the measure of the diagonals are equal.
The properties of a square is that the diagonals are equal and they are perpendicular bisectors of one another.
Steps of construction:
1. Draw a line segment AC measuring 6.8 cm
2. Using a ruler and compass, draw a perpendicular bisector of AC.
3. Let the perpendicular be XY and it meets AC at O.
4. From point O, mark 3.4 cm on either sides on line XY and mark the points as B and D respectively.
5. Now, join ABCD. The figure obtained is a square.
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