Question

Construct a quadrilateral ABCD with AB = 5.1 cm, DC = 5.4 cm, DA = 4.6 cm, AC = 5.9 cm and BD= 6.5 cm. Measure BC, write the steps of construction.

Answer 1

Answer:

The data soothing to construct the ∆ ABC first.Taking a line of length AC =3.4cm joining the two vertices A and C,a semicircle is constructed on the line from which an arc AL,of length 2.5cm is cut off to locate point L.Joining CL is straightened and another arc AB of length 6.5cm is cutoff through compass from the extended CL,to locate B,the third vertex of parallelogram ABCD.Hence 2 adjacent sides of the parallelogram ABCD is found now.Your task now to construct a parallel line to AB at,C with arc length equal to AB as line CD.Finding point D,joint with A to complete the parallelogram