ABCD is a rhombus with diagonals AC = 12 cm and BD = 9 cm. Construct ABCD using a ruler and compasses.

Could someone please instruct me on how to do this construction?

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- October 7th 2008, 01:17 AMxwrathbringerxPlease Help: Construction of a Rhombus
ABCD is a rhombus with diagonals AC = 12 cm and BD = 9 cm. Construct ABCD using a ruler and compasses.

Could someone please instruct me on how to do this construction? - October 7th 2008, 01:22 AMearboth
1. Draw the line AC.

2. Construct the perpendicular bisector of AC using 2 circles with center at A and C, radius > half of AC

3. Draw a circle with r = 4.5 cm around the midpoint of AC.

4. Intersection points of this circle with the perpendicular bisector are B and D.

5. Complete the rhombus.

EDIT: I've attached the construction.