how to construct a rhombus when two diagonals are given

(diagonals of a rhombus bisect each other at right angles. ) Divide each diagonal by 2 to get the altitude and base of a right angled triangle. Use pythagoras theorem to find the hypotenuse. The hypotenuse of this triangle is the side ofthe rhombus. Now draw the other sides and remaining diagonals to finish the rhombus.

If you have to draw an rhombus ABCD for eg of diagonals of 8 and 6 cm.an easy way is to just draw a line of 8cm horizontly you will get the diagonal AC .now as we that the diagonals bisect each other so draw a point O in th middle of diagonal AC .Then from O draw a perpendicular line above and below the point O.cut an arc from the point O taking a compass and measure of 4 cm on the lines you made above O and below O.you will get the diagonal BD .Now join the point A to D and b and the point C to D and B.you will get your Rhombus.

If you have to draw an rhombus ABCD for eg of diagonals of 8 and 6 cm.an easy way is to just draw a line of 8cm horizontly you will get the diagonal AC .now as we that the diagonals bisect each other so draw a point O in th middle of diagonal AC .Then from O draw a perpendicular line above and below the point O.cut an arc from the point O taking a compass and measure of 4 cm on the lines you made above O and below O.you will get the diagonal BD .Now join the point A to D and b and the point C to D and B.you will get your Rhombus.

If you have to draw an rhombus ABCD for eg of diagonals of 8 and 6 cm.an easy way is to just draw a line of 8cm horizontly you will get the diagonal AC .now as we that the diagonals bisect each other so draw a point O in th middle of diagonal AC .Then from O draw a perpendicular line above and below the point O.cut an arc from the point O taking a compass and measure of 4 cm on the lines you made above O and below O.you will get the diagonal BD .Now join the point A to D and b and the point C to D and B.you will get your Rhombus.