Construct a rhombus of diagonals 6.4 and 5.2

Home Work Help
1

Construct a rhombus of diagonals 6.4 and 5.2

2

Let the given diagonals be AC = 5.2 cm and BD = 6.4 cm
Rough sketch:

Steps of Construction:

  • Draw a line segment AC = 5.2 cm
  • Draw perpendicular bisector of AC. Let it intersect AC at O.
  • With O as centre and radius equal to half of BD(3.2 cm) draw arcs on either side of AC on the perpendicular bisector. Let them intersect at B and D as shown.
  • Join points A, B; points B, C; points C, D and points A, D.
  • ABCD is the required rhombus.