Question

Construct a square one of whose diagonals is 5.6cm.​

Answer 1

both diagonals are equal because the square is a rectangle and the rectangles diagonals are equal

Answer 2

ABCD is the required square

Step-by-step explanation:

steps :

1. Draw a line segment AC = 5.6 cm length
2. Now draw perpendicular bisector of AC. Let it intersect AC at point O.
3. With O as centre and radius equal to half of the length of the diagonal (2.8 cm) draw two arcs on either side of AC on the perpendicular bisector.
4. Mark the point of intersections of the arcs and perpendicular bisectors as B and C.
5. Join points A, B; points B, C; points C, D; points A, D.
6. Thus ABCD is the required square with length of diagonal 5.6 cm.

properties used :

• The diagonals of a square bisect each other and meet at 90°
• All four sides of a square are equal.
• The diagonals of a square are equal.

#Learn more:

Construct a rectangle JKLM whose diagonal are 6.8cm and 5.6cm

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